A broken stabilizer link is the most likely cause of excessive body lean and sway.
The most likely cause of excessive body lean and sway while cornering is worn or broken stabilizer (sway) bar links. The stabilizer bar, also known as the sway bar, plays a crucial role in reducing body roll and maintaining stability during cornering.
When the stabilizer bar links wear out or become broken, they lose their ability to effectively transfer forces between the suspension components, leading to increased body lean and sway. This can result in a less stable and potentially unsafe driving experience, as the vehicle may feel unstable and have reduced cornering capabilities.
In summary, while all the mentioned components can impact suspension performance, a broken or worn stabilizer bar link is the most likely cause of excessive body lean and sway while cornering. It is crucial to have the stabilizer bar links inspected and replaced if necessary to restore proper stability and handling during cornering maneuvers.
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what is the atmosphere pressure on earth will support a column of mercury about 760 mm high, since the atmosphere pressure on the surface of the planet venus is 9200 kpa (1330 pal) , about 91 times that of earth about how tall a mercury column could venus’s atmosphere support ?
The atmospheric pressure on earth is 1 atm. This pressure is equivalent to the mercuric pressure of 760 mmHg. The atmospheric pressure on the surface of Venus is 9200 kpa which is equivalent to 69017 mmHg.
What is atmospheric pressure?Pressure is the force acting per unit area. In the atmosphere, the gaseous particles and dust exerts a pressure in the atmosphere. The atmospheric pressure depends on the temperature.
There are various units for pressure. Normally the atmospheric pressure is expressed in atm unit. The mmHg pressure is based on the raise in mercuric level with respect to increase in pressure.
1 mmHg = 0.0013133 atm
hence, 760 mmHg = 1 atm
On the surface of Venus, the pressure is 9200 kilopascal.
1 mmHg = 0.133 KPa
then 9200 KPa = 9200/0.133 = 69017 mmHg pressure.
Therefore, height of mercuric column will be 69017 mm in Venus surface.
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An appeal of a state appellate court ruling can next be made to:
• A. a state trial court.
• B. the state supreme court.
• C. the U.S. Supreme Court.
• D. a U.S. Court of Appeals.
The decision of the country's highest court may then be appealing to that Supreme Court of both the U. S., but only in cases where the issue involves federal law.
Why is Supreme renowned?In particular, followers of hip-hop, surfing, and post - punk culture will find their clothing appealing. Every person who appreciates streetwear will discover the ideal item thanks to Supreme's wide range of clothing.
Why is Supreme so expensive?Rebellious and distinctive brand image! Despite giving a venture - capital group a 50% ownership in the company, Supreme has been able to keep its skater roots and fan base. To top it all off, the Supremes' emblem is distinctive, outstanding, and simple to recognize.
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Soda from a mS = 12 oz can at temperature TS = 12.5°C is poured in its entirety into a glass containing a mass mI = 0.17 kg amount of ice at temperature TI = -19.5°C. Assume that ice and water have the following specific heats: cI = 2090 J/(kg⋅°C) and cS = 4186 J/(kg⋅°C), and the latent heat of fusion of ice is Lf = 334 kJ/kg. In this problem you can assume that 1 kg of either soda or water corresponds to 35.273 oz.
The final temperature of the mixture of ice and soda is equal to 5 °C with a specific heat of soda and ice.
From the given,
mass of soda = 12 oz
temperature (Ts) = 12.5 °C
mass of ice (Mice) = 0.17 Kg
The temperature of ice (Tice) = -19.5°C
Specific heat of ice (Cice) = 2090 J/kg°C
Specific heat of water (Cwater) = 4186 J/kg°C
Latent heat of fusion of ice (Lf) = 334 kJ/kg.
The final temperature (T₂)=?
Mass of water = 12 / 35.274 = 0.34 kg
The heat lost by soda = heat gained by the ice
heat (Q) = m×c×ΔT where m is mass, C is specific heat and ΔT is a change in temperature.
M(soda)×C(water)×ΔT = M(ice)×Lf + M(ice)×C(ice)(T₂-T₁) + M(ice)×C(w)(T₂-0)
0.34×4186×(T₂-12.5) = (0.17×334) + (0.17× 2090×(T₂ + 19.5)+ (0.17×4186×T₂)
17790.5 - 1423.24 (final temp)= 6985.13 + 711.62 (final temp)
10805.37 = 2134.56 (final.temp)
T₂= 10805.37 / 2134.56
= 5 °C.
Thus, the final temperature of the mixture is 5°C.
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Which statement describes Kepler’s third law of orbital motion?
Answer:
The square of orbital period is proportional to the cube of the semi-major axis.
Explanation:
I just took the quick check
I NEED HELP WITH THIS QUESTION
The charge R is positive and the charge L is negative hence, the correct option is option D.
The electric charges are of two types and they are positive and negative charge. There is an attractive force between the two charges. The electric field is formed around the charges and the electric field is denoted by using field lines around it.
The field lines are emerging from positive charge and end up in a negative charge. The field lines never intersect with each other. Hence, from the given, the field lines emerging from the positive charge(R) and end up in the negative charge(L).
Hence, the ideal solution is option D.
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I need help with this question
Explanation:
a boy walks at 2m/s for 30sec and run at 5m/s for 20sec. what is his average speed
An independent-measures t hypothesis test is appropriate when ____.
a. the mean for a treated group of subjects is compared to a known population mean
b. one sample is used to test a hypothesis about one population
c. the value for s is known
d. there are two separate samples containing different subjects
An independent-measures t hypothesis test is appropriate when - d. there are two separate samples containing different subjects.
When you wish to compare the means of just two groups—no more, no less—use an independent samples t test! This test is typically used to detect whether two population means differ. This process employs samples to infer information about populations, making it an inferential statistical hypothesis test. The two sample t test is another name for the independent samples t test. You can reject the null hypothesis if the p-value is less than your threshold for significance (for example, 0.05). The two means difference is statistically significant. The data from your sample is convincing enough to support the conclusion that the two-population means are not equal.
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PLEASE HELP I WROTE THIS LIKE 200 TIMES
Plate boundaries represent parts of the Earth where plates come in contact with one another. There are different ways in which these plates can move and interact. In this assignment, you will identify each type of plate movement and create an illustration to represent this.
Plate boundaries represent the parts of the Earth's crust where plates come in contact with one another. There are three types of plate boundaries based on the movement and interaction of the plates involved. These are: Divergent Plate Boundaries, Convergent Plate Boundaries, and Transform Plate Boundaries.
Divergent Plate Boundaries
At divergent plate boundaries, two plates move away from each other as magma rises to the surface and creates new crustal material. Examples of divergent plate boundaries include the Mid-Atlantic Ridge, the East Pacific Rise, and the African Rift Valley.
Convergent Plate Boundaries
At convergent plate boundaries, two plates move toward each other and eventually collide. Depending on the type of plate involved, different types of interactions can occur. The three types of convergent plate boundaries are oceanic-continental, oceanic-oceanic, and continental-continental. An example of oceanic-continental convergence is the Pacific Northwest region of the United States. An example of oceanic-oceanic convergence is the Japanese Islands, and an example of continental-continental convergence is the Himalayas.
Transform Plate Boundaries
At transform plate boundaries, two plates move past each other in a horizontal direction. These boundaries are characterized by faults and earthquakes, such as the San Andreas Fault in California.
To create an illustration that represents each type of plate movement, you can draw a diagram that shows the direction of plate movement, the type of boundary, and any notable geological features associated with that type of boundary.
For example, a divergent plate boundary illustration could include a depiction of magma rising to the surface and creating new crustal material, while a transform plate boundary illustration could include a fault line and a depiction of the earthquakes that occur along that boundary.
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Name the following compound:
CH2 = CH2
Ethyne
Ethane
Ethyl
ethane
Answer:
Ethene
Explanation:
although the correct term is Ethylene
Light of wavelength 500 nm illuminates a round 0.50-mm diameter hole. A screen is placed 6.0 m behind the slit.. Find the width of the central maximum on the screen.
A) 6.0 mm.
B) 12 mm.
C) 260 mm.
D) 7.3 mm.
E) 15 mm.
Answer:
15mm
Explanation:
We know that for circular holes first dark spot is given by
sin စ = 1.22 λ/D
Also we know that at the same time
tan စ = r/L
So
r = L tanစ = 6 x tan( arcsin(1.22x 500 x10^9/0.50 x 10^ 3))
= 0.0073 m = 7.3 mm
However since the size is twice that so 14.6 mm which is approx 15mm
2. You are traveling along a highway at night at a speed of 100 km/h when you spot an object directly in front of you in the road at the limit of your headlights. (10 Marks)
a) If the maximum braking deceleration that your car can provide is 7 m/s2, and if your headlights extend out to a range of 30 m, will you hit the object before coming to a stop?
b) How long will it take to stop?
a) To determine if the car will hit the object before coming to a stop, we need to calculate the distance required to stop the car, assuming maximum braking deceleration. We can use the following formula:
d = (v^2) / (2a)
where:
d = distance required to stop
v = initial velocity
a = acceleration/deceleration
In this case, v = 100 km/h = 27.78 m/s (converted from km/h to m/s)
a = -7 m/s^2 (negative sign indicates deceleration)
We know that the car's headlights extend out to a range of 30 m, so if the distance required to stop the car is greater than 30 m, the car will hit the object before coming to a stop.
Plugging in the values to the formula, we get:
d = (27.78^2) / (2 x -7) = 108.61 m
Since 108.61 m is greater than 30 m, the car will hit the object before coming to a stop.
b) To calculate the time required to stop, we can use the following formula:
t = v / a
where:
t = time required to stop
v = initial velocity
a = acceleration/deceleration
Plugging in the values, we get:
t = 27.78 / 7 = 3.97 s
Therefore, it will take 3.97 seconds to stop the car.
A bicycle has a momentum of 36 kg•m/s and a velocity of 4 m/s. What is the mass of the bicycle?
Answer:
45kw45_32+675&453try to get it done
Answer:
A: 9 kg
Explanation:
on edge! hope this helps!!~ ∩(︶▽︶)∩
what are the applications of pascal's principle
Explanation:
The applications are, hydraulic lift- to transmit equal pressure throughout a fluid.Hydraulic jack- used in the braking system of cars.use of a straw- to suck fluids, which goes because of air pressure.The question simply asks, where pressure can be applied. There are many others, such as lift pump.(These are multiple choice questions)
1) The magnitude of the charge of five electrons is
A. 1.0×10-19 C.
B. 1.6×10-19 C.
C. 6.0×10-19 C.
D. 8.0×10-19 C.
2) Total resistance (in ohms-Ω) between the points A and B of the following circuit is
A. 70 Ω
B. 30 Ω
C. 25 Ω
D. 20 Ω
3) Given the electron configuration of a neutral atom 1s22s22p63s23p5. The atom
A. can become a negative ion easily.
B. is a halogen.
C. has 7 electrons in the outer most shell.
D. all of the above.
4) Identify the number of protons, neutrons and electrons in an atom of
A. 136 protons, 92 neutrons and 92 electrons
B. 92 protons, 136 neutrons and 92 electrons
C. 92 protons, 138 neutrons and 92 electrons
D. 230 protons, 92 neutrons and 92 electrons
5)Which of the following is not an application of Total Internal Reflection?
A. mirage
B. optical fiber
C. prismatic binocular
D. hologram
The application of total Internal Reflection occurs in a mirage. Option A
What is the charge?1) We know that a charge can be positive or negative. If the charge is negative, we call it an electron. If the charge is positive, we call it a proton. Now we know that the magnitude of charge on each electron is 1.6×10-19 C. Hence, the magnitude of charge on five electrons = 5 * 1.6×10-19 C = 8.0×10-19 C. Option D
2) The details of question 2 are not shown hence the question can not be answered.
3) Looking at the electronic configuration of the element; 1s22s22p63s23p5, it is clear to see that it has the ns2 np5 outermost configuration that is common to halogens thus it;
can become a negative ion easily. is a halogen.has 7 electrons in the outer most shell.4) The atom is composed of the protons, neutrons and electrons. Given the nuclide identified as 230/92U we have 92 protons, 138 neutrons and 92 electrons. Option C
5) The application of total Internal Reflection occurs in a mirage. Option A
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water falls off a cliff of height 20m at a rate of 50kg per second
calculate the mass of water that falls in 1 minute
calculate the gravitational potential energy lost by the water in 1 minute
Answer:
M = 50 kg / sec * 60 sec = 3000 kg water that falls
PE = M g h initial potential energy of water
PE = 3000 kg * 9.8 m/s^2 * 20 m = 588,000 joules of energy lost
How do you solve for "m" and "k" in a mass-spring system?
Answer:
Period of a Mass on a Spring. The period of a mass m on a spring of spring constant k can be calculated as T=2π√mk T = 2 π m k .
Explanation:
There are 5.5 L of a gas present at -38.0 C. What is the temperature if the volume of the gas has changed to 1.30 L?
Answer:
We are given:
V1 = 5.5L T1 = -38 C or 235 k
V2 = 1.3L T2 = T
From the gas equation:
PV = nRT
Since the pressure (P) , number of moles (n) and the universal gas constant (R) are constants, we can write the same equation as:
V / T = k (where k is a constant)
so a bit more insight, since the values noted above are constant, when multiplied by each other, they will provide us with a constant number irrespective of the value of the variables
Changing the variables for the first case:
V1 / T1 = k (where k is the same constant) ----------------(1)
Similarly,
V2 / T2 = k (again, k has the same value)----------------(2)
From (1) and (2):
k is the common value
V1 / T1 = V2 / T2
Replacing the variables
5.5 / 235 = 1.3 / T
T = 1.3 * 235 / 5.5
T = 55.54 k
Therefore, at 55.54 K the gas will have a volume of 1.3L
In the Bohr model of the hydrogen atom, an electron in the 2nd excited state moves at a speed of 5.48 105 m/s in a circular path of radius 2.12 10-10 m. What is the effective current associated with this orbiting electron
Answer:
The current is \(I = 6.59*10^{-5} \ A\)
Explanation:
From the question we are told that
The speed is \(v = 5.48*10^{5} \ m/s\)
The radius is \(r = 2.12 *10^{-10} \ m\)
Generally the period of the orbiting electron is mathematically represented as
\(T = \frac{2 \pi * r }{v}\)
=> \(T = \frac{2 * 3.142 * 2.12 *10^{-10} }{ 5.48 *10^{5}}\)
=> \(T = 2.43 *10^{-15} \ s\)
Gnerally the effective current associated with this orbiting electron
\(I = \frac{e}{T}\)
Here e is the charge on an electron with value \(e = 1.60 *10^{-19} \ C\)
So
\(I = \frac{1.60 *10^{-19}}{2.43 *10^{-15}}\)
=> \(I = 6.59*10^{-5} \ A\)
The following diagram shows four charged objects: A, B, C, and D.
Based on the diagram, which statement is true?
The electric force between A and B is identical in magnitude to the electric force between C and D.
The electric force between A and B is greater than the electric force between C and D.
The electric force between A and B is smaller than the electric force between C and D.
The electric force between A and B is canceled by the electric force between C and D.
Answer:
they are identical.
Explanation:
use coulomb law. the size of that line is just to confuse students because some sick teacher gets off on making you miss points. coulombs law says the magnitude of electric field is proportional to the size of the charge. here they are all +/-1 they are the same.
The true statement is "The electric force between A and B is greater than the electric force between C and D." The correct answer is B.
What is electric force?Electric force, also known as Coulomb force, is the attraction or repulsion between electrically charged particles. It is a fundamental force of nature that arises from the interaction of charged particles with each other. Electric force is described mathematically by Coulomb's law, which states that the magnitude of the force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. The direction of the force depends on the sign of the charges, with like charges repelling each other and opposite charges attracting each other.
Here in the Question,
The electric force between two charged objects depends on the magnitude of the charges and the distance between them. In this case, object A has a positive charge and object B has a negative charge, so there is an attractive force between them. Object C also has a positive charge, but it is separated by a larger distance from the negative charge at point D, so the electric force between C and D is weaker than the force between A and B.
Option A is not true because the distance between A and B is smaller than the distance between C and D, so the forces cannot be identical in magnitude.
Option C is not true because, as explained above, the force between A and B is greater than the force between C and D.
Option D is not true because the forces between A and B and between C and D are not opposite in direction, so they cannot cancel each other out.
Therefore, The correct answer is B. The electric force between A and B is greater than the electric force between C and D.
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please help me out with this
The current flowing through the 1Ω resistor in the circuit is 0.66 A.
The emf of the cells, V = 1.1 V
Internal resistance of the cells, r = Ω
Resistance across the circuit, R = 1 Ω
According to Kirchhoff's current law, the total current flowing into and out of a junction in an electrical circuit is equal.
According to Kirchoff's current law,
(1.1 - V'/2) + (1.1 - V'/2) + (1.1 - V'/2) = V'/1
3/2(1.1 - V') = V'
3.3 - 3V' = 2V'
5V' = 3.3
Therefore, the terminal velocity of the battery is,
V' = 3.3/5
V' = 0.66 V
Therefore, according to Ohm's law, the current flowing through the 1Ω resistor is given by,
I = V'/R
I = 0.66/1
I = 0.66 A
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The Earth's plates moved over millions of years, bringing continents and other
features of the Earth to their present arrangement.
How is this movement of the lithosphere explained?
continental drift
• the principle of superposition
• the theory of plate tectonics
nuclear fusion
Answer:
theory of plate tectonics
Explanation:
Answer:
What he said above me
Explanation:
I did the test and it was right
What is the maximum speed at which a car can round a curve?
Answer:
36 kmp or 22.37 mph
Two concrete spans of a 400 m long bridge are
placed end to end so that no room is allowed
for expansion.
If the temperature increases by 20°C, what
is the height to which the spans rise when
they buckle? Assume the thermal coefficient
of expansion is 1.2 x 10-5 (°C)-¹.
Answer in units of m.
The height to which the spans rise when they buckle is 2.04 m
How do we calculate?thermal expansion is given as :
ΔL = αLΔT
Where:
ΔL = change in length
α = coefficient of thermal expansion
L = original length
ΔT = change in temperature
Calculate the change in length of the bridge spans:
ΔL = αLΔT
ΔL = (1.2 x 10^-5) x (400) x (20)
ΔL = 0.096 m
We apply Pythagorean theorem to find the height to which the spans rise when they buckle:
h^2 = (400 + 2ΔL)^2 - 400^2
h^2 = (400 + 2(0.096))^2 - 400^2
h^2 = 4.1664
h = 2.04 m
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4- What force must be applied to a surface area of 0.0025m , to create a pressure ol
200.000Pa?
3 women push a stalled car. Each woman pushes with a 425 N force. What is the mass of the car if the car accelerates at 0.85 m/s2?
Answer:
1500kg
Explanation:
Assuming that the women push the car in the same direction, then the total force is:
Fnet = 425 N ⋅ 3
= 1275 N
To find the mass, we use Newton's second law of motion, which states that,
F = ma
where:
·F is the force applied in newtons
·m is the mass of the object in kilograms
·a is the acceleration of the object in meters per second squared.
So we get:
F
m= ⁻⁻⁻⁻⁻
a
1275N
= ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
0.85 m/s²
= 1500 kg
Explain/Describe how atoms in domains determine whether a material is magnetic or not. (Please help this is due today)
Answer:
In a material, the magnetic behavior depends on the alignment of magnetic moments of the atoms. Magnetic moments are generated by the motion of the electrons in the atoms. When the magnetic moments of atoms in a material are aligned in a specific pattern, it creates a magnetic field which results in the material being magnetic.
In many materials, the magnetic behavior arises due to the alignment of magnetic domains, which are regions of atoms with magnetic moments aligned in the same direction. When many domains with aligned magnetic moments are present in a material, the material becomes magnetic.
The magnetic behavior of a material depends on the number of electrons and the arrangement of those electrons in the atoms. In particular, for an atom to have a magnetic moment, it must have unpaired electrons, meaning electrons that are not paired with another electron with the opposite spin. When these unpaired electrons in the atoms are aligned, they generate a magnetic moment. If all electrons are paired, there will not be a net magnetic moment, so the material will not be magnetic.
So, in summary, the magnetic behavior of a material is determined by the alignment of magnetic moments of atoms. When the magnetic moments of many atoms in a material align in the same direction, it creates a magnetic field, leading to a material being magnetic. This alignment is usually present in magnetic domains consisting of atoms with unpaired electrons.
What are the first three elements of a press release?
Answer: headline, dateline, introduction
Explanation: its correct im not explaining
What is the force required to accelerate a 500 kg object at a rate of 10 m/s^2?
Answer:
Therefore, the force required to accelerate a 500 kg object at a rate of 10 m/s^2 is 5000 Newtons (N).
Explanation:
The force required to accelerate an object can be calculated using the formula:
force = mass x acceleration
where "mass" is the mass of the object being accelerated, and "acceleration" is the rate at which the object's velocity is changing.
In this case, the mass of the object is 500 kg, and the acceleration is 10 m/s^2. Plugging these values into the formula gives:
force = mass x acceleration
force = 500 kg x 10 m/s^2
force = 5000 N
Therefore, the force required to accelerate a 500 kg object at a rate of 10 m/s^2 is 5000 Newtons (N).
Find the vector whose magnitude is 5 and which is in the direction of the vector 4i -3j +k
The vector with a magnitude of 5 and in the direction of the vector 4i - 3j + k is approximately (20/√26)i + (-15/√26)j + (5/√26)k.
To solve this problemThe given vector can be normalized before being multiplied by the desired magnitude. This is how to locate the vector:
The vector that has been provided should be normalized by dividing each of its components by its magnitude. The Pythagorean theorem can be used to determine the magnitude of the vector 4i - 3j + k:
Magnitude = √(4² + (-3)² + 1²) = √(16 + 9 + 1) = √26
Normalize the vector by dividing each component by the magnitude:
Normalized vector = (4/√26)i + (-3/√26)j + (1/√26)k
Multiply the normalized vector by the desired magnitude:
To obtain a vector with a magnitude of 5, multiply each component of the normalized vector by 5:
Desired vector = 5 * ((4/√26)i + (-3/√26)j + (1/√26)k)
Simplifying the expression gives:
Desired vector ≈ (20/√26)i + (-15/√26)j + (5/√26)k
So, the vector with a magnitude of 5 and in the direction of the vector 4i - 3j + k is approximately (20/√26)i + (-15/√26)j + (5/√26)k.
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A baseball is popped straight up into the air and has a hang-time of 6.25 S.
Determine the height to which the ball rises before it reaches its peak. (Hint: the
time to rise to the peak is one-half the total hang-time.)
Answer:
To determine the height to which the ball rises before it reaches its peak, we need to know the initial velocity of the ball and the acceleration due to gravity. Let's assume the initial velocity of the ball is v and the acceleration due to gravity is g.
The time it takes for the ball to reach its peak is one-half the total hang-time, or 1/2 * 6.25 s = 3.125 s.
The height to which the ball rises can be calculated using the formula:
height = v * t - (1/2) * g * t^2
Substituting in the values we know, we get:
height = v * 3.125 s - (1/2) * g * (3.125 s)^2
To solve for the height, we need to know the value of v and g. Without more information, it is not possible to determine the height to which the ball rises before it reaches its peak.
Explanation:
Answer:
Approximately \(47.9\; {\rm m}\) (assuming that \(g = 9.81\; {\rm m\cdot s^{-2}}\) and that air resistance on the baseball is negligible.)
Explanation:
If the air resistance on the baseball is negligible, the baseball will reach maximum height at exactly \((1/2)\) the time it is in the air. In this example, that will be \(t = (6.25\; {\rm s}) / (2) = 3.125\; {\rm s}\).
When the baseball is at maximum height, the velocity of the baseball will be \(0\). Let \(v_{f}\) denote the velocity of the baseball after a period of \(t\). After \(t = 3.125\; {\rm s}\), the baseball would reach maximum height with a velocity of \(v_{f} = 0\; {\rm m\cdot s^{-1}}\).
Since air resistance is negligible, the acceleration on the baseball will be constantly \(a = (-g) = (-9.81\; {\rm m\cdot s^{-2}})\).
Let \(v_{i}\) denote the initial velocity of this baseball. The SUVAT equation \(v_{f} = v_{i} + a\, t\) relates these quantities. Rearrange this equation and solve for initial velocity \(v_{i}\):
\(\begin{aligned}v_{i} &= v_{f} - a\, t \\ &= (0\; {\rm m\cdot s^{-1}}) - (-9.81\; {\rm m\cdot s^{-2}})\, (3.125\; {\rm s}) \\ &\approx 30.656\; {\rm m\cdot s^{-1}}\end{aligned}\).
The displacement of an object is the change in the position. Let \(x\) denote the displacement of the baseball when its velocity changed from \(v_{i} = 0\; {\rm m\cdot s^{-1}}\) (at starting point) to \(v_{t} \approx 30.656\; {\rm m\cdot s^{-1}}\) (at max height) in \(t = 3.125\; {\rm s}\). Apply the equation \(x = (1/2)\, (v_{i} + v_{t}) \, t\) to find the displacement of this baseball:
\(\begin{aligned}x &= \frac{1}{2}\, (v_{i} + v_{t})\, t \\ &\approx \frac{1}{2}\, (0\; {\rm m\cdot s^{-1}} + 30.565\; {\rm m\cdot s^{-1}})\, (3.125\; {\rm s}) \\ &\approx 47.9\; {\rm m}\end{aligned}\).
In other words, the position of the baseball changed by approximately \(47.9\; {\rm m}\) from the starting point to the position where the baseball reached maximum height. Hence, the maximum height of this baseball would be approximately \(47.9\; {\rm m}\!\).