Question 1

A car accelerates uniformly from rest. Its velocity vs. time graph is a straight line passing through the origin. What does the slope of this line represent?

Accepted Answer

The car's acceleration

Question 2

Which of the following best describes the motion of an object in free fall near Earth's surface (neglecting air resistance)?

Accepted Answer

It accelerates downward at $$g = 9.80\ \mathrm{m/s^2$}$$

Question 3

A ball is thrown straight upward with an initial velocity of $$15\ \mathrm{m/s}. $$What is its velocity after $$2\ \mathrm{s}$$? (Take $$g = 9.8\ \mathrm{m/s^2$}$$, upward is positive.)

Accepted Answer

$$-4.6\ \mathrm{m/s}$$

Question 4

Given a velocity vs. time graph, how can you determine the displacement of an object over a time interval?

Accepted Answer

By finding the area under the curve

Question 5

A coffee cup is dropped from a height of $$0.8\ \mathrm{m}. $$How long does it take to hit the ground? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$0.72\ \mathrm{s}$$

Question 6

Which equation correctly relates position, initial velocity, acceleration, and time for an object under constant acceleration?

Accepted Answer

$$x = x_0$ + v_0$ t + \frac{1}{2} a t^2$

Question 7

If the slope of a velocity vs. time graph is negative, what does this indicate about the object's motion?

Accepted Answer

The object is accelerating in the negative direction

Question 8

A skydiver jumps from a plane and is in free fall before opening the parachute. Which of the following statements is true during the free fall phase (before air resistance is significant)?

Accepted Answer

The skydiver's acceleration is constant and equal to $$g$$

Question 9

Which of the following is the correct unit for the slope of a velocity vs. time graph?

Accepted Answer

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

Question 10

A car's velocity changes from $$10\ \mathrm{m/s} to$$ $$30\ \mathrm{m/s} in$$ $$4\ \mathrm{s}. $$What is its acceleration?

Accepted Answer

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

Question 11

Which of the following statements about free fall is correct?

Accepted Answer

All objects accelerate at the same rate regardless of mass

Question 12

A ball is dropped from rest from a height $$h. $$Which equation gives the time $$t it $$takes to reach the ground?

Accepted Answer

$$t = \sqrt{\frac{2h}{g}}$$

Question 13

If the position vs. time graph of an object is a parabola opening upwards, what can you say about the object's acceleration?

Accepted Answer

The object has constant positive acceleration

Question 14

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

Accepted Answer

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

Question 15

Which of the following is NOT a correct step in solving a kinematics problem?

Accepted Answer

Ignore units to simplify calculations

Question 16

A stone is thrown downward with an initial velocity of $$5\ \mathrm{m/s}$$ from a height of $$20\ \mathrm{m}. $$How long does it take to hit the ground? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$2.0\ \mathrm{s}$$

Question 17

Which of the following best describes the relationship between the slope of a position vs. time graph and the object's motion?

Accepted Answer

The slope gives the object's velocity

Question 18

A velocity vs. time graph for two cars (Corvette and Sonic) shows straight lines with different slopes. What does the difference in slopes indicate?

Accepted Answer

The cars have different accelerations

Question 19

If an object starts from rest and accelerates at $$4\ \mathrm{m/s^2$}$$ for $$3\ \mathrm{s}$$, what is its final velocity?

Accepted Answer

$$12\ \mathrm{m/s}$$

Question 20

Which of the following is a correct interpretation of the area under an acceleration vs. time graph?

Accepted Answer

It gives the change in velocity

Kinematics: Position, Velocity, Acceleration, and Free Fall

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