Question 1

A car moves with a constant velocity of $+4\,\mathrm{m/s}$ for $3\,\mathrm{s}$. What is the car's displacement during this time interval?

Accepted Answer

$+12\,\mathrm{m}$

Question 2

Which of the following best describes the shape of a position vs. time graph for an object moving with constant acceleration?

Accepted Answer

A parabolic curve

Question 3

A ball is thrown straight up with an initial velocity of $+10\,\mathrm{m/s}$. Ignoring air resistance, what is the velocity of the ball when it returns to its starting height?

Accepted Answer

$-10\,\mathrm{m/s}$

Question 4

Which kinematic equation would you use to solve for displacement $\Delta x$ when you know initial velocity $v_{i}$, acceleration $a$, and time $t$?

Accepted Answer

$\Delta x = v_{i} t + \frac{1}{2} a t^2$

Question 5

A car traveling at $20\,\mathrm{m/s}$ comes to a stop with a constant acceleration of $-4\,\mathrm{m/s^2}$. How far does the car travel before stopping?

Accepted Answer

$50\,\mathrm{m}$

Question 6

On a velocity vs. time graph, what does the area under the curve represent?

Accepted Answer

Displacement

Question 7

A rock is dropped from rest from a cliff. How long does it take to fall $45\,\mathrm{m}$? (Use $g = 9.8\,\mathrm{m/s^2}$)

Accepted Answer

$3.03\,\mathrm{s}$

Question 8

Which of the following statements is true for an object in free fall (neglecting air resistance)?

Accepted Answer

The acceleration is constant and directed downward.

Question 9

A cyclist starts from rest and accelerates at $2\,\mathrm{m/s^2}$ for $5\,\mathrm{s}$. What is the final velocity?

Accepted Answer

$10\,\mathrm{m/s}$

Question 10

A train moves with a constant velocity. Which of the following is true about its acceleration and velocity graphs?

Accepted Answer

The velocity graph is a horizontal line; the acceleration graph is a line at zero.

Question 11

A ball is thrown downward from a tall building with an initial velocity of $-5\,\mathrm{m/s}$. What is the velocity after $2\,\mathrm{s}$? (Take downward as negative, $g = 9.8\,\mathrm{m/s^2}$)

Accepted Answer

$-24.6\,\mathrm{m/s}$

Question 12

Which of the following is the correct kinematic equation to use when time is not known, but initial and final velocities and acceleration are given?

Accepted Answer

$v_{f}^2 = v_{i}^2 + 2 a \Delta x$

Question 13

A runner accelerates from $2\,\mathrm{m/s}$ to $8\,\mathrm{m/s}$ in $3\,\mathrm{s}$. What is the average acceleration?

Accepted Answer

$2\,\mathrm{m/s^2}$

Question 14

A position vs. time graph shows a straight line with a negative slope. What does this indicate about the object's motion?

Accepted Answer

The object is moving at constant velocity in the negative direction.

Question 15

A car starts from rest and travels $100\,\mathrm{m}$ in $5\,\mathrm{s}$ with constant acceleration. What is the acceleration?

Accepted Answer

$8\,\mathrm{m/s^2}$

Question 16

If an object’s velocity vs. time graph is a straight line with a positive slope, what can you say about its acceleration?

Accepted Answer

The object has constant positive acceleration.

Question 17

A person throws a ball straight up from the edge of a $20\,\mathrm{m}$ high building with an initial velocity of $+10\,\mathrm{m/s}$. How long does it take for the ball to hit the ground? (Use $g = 9.8\,\mathrm{m/s^2}$)

Accepted Answer

$3.19\,\mathrm{s}$

Question 18

Which of the following best describes the motion of an object whose velocity vs. time graph is a horizontal line below the time axis?

Accepted Answer

The object moves at constant velocity in the negative direction.

Question 19

A car accelerates uniformly from $5\,\mathrm{m/s}$ to $25\,\mathrm{m/s}$ over a distance of $60\,\mathrm{m}$. What is the acceleration?

Accepted Answer

$5\,\mathrm{m/s^2}$

Kinematic Equations of Motion: Concepts, Graphs, and Applications

Study Guide - Practice Questions

Study Guide - Flashcards