Q: If an object starts at $$s_i = 3\ \mathrm{m}$$ and moves with a velocity $$V = 4\ \mathrm{m/s}$$ for $$t = 2\ \mathrm{s}$$, what is its final position using the kinematic equation $$S_f = S_i + V \Delta t$$?

$$S_f = 3 + 4 \times 2 = 11\ \mathrm{m}$$

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

$$v = 2 \times 5 = 10\ \mathrm{m/s}$$

Question 1

A ball is thrown vertically upward and then falls back down. At the very top of its trajectory, what is the velocity and acceleration of the ball?

Accepted Answer

Velocity is zero, acceleration is negative and constant.

Question 2

Which of the following best describes uniform motion?

Accepted Answer

Motion with equal displacements during equal time intervals in a straight line.

Question 3

Given the position-time graph below, what does the slope of the graph represent?

Accepted Answer

The object's average velocity.

Question 4

An object moves from $$x_i = 2\ \mathrm{m} to$$ $$x_f = 8\ \mathrm{m} in$$ $$t_f - t_i = 3\ \mathrm{s}. $$What is its average velocity?

Accepted Answer

$$\frac{8-2}{3} = 2\ \mathrm{m/s}$$

Question 5

If the velocity of an object changes from $$v_i = 5\ \mathrm{m/s} to$$ $$v_f = -1\ \mathrm{m/s} in$$ $$2\ \mathrm{s}$$, what is its acceleration?

Accepted Answer

$$a = \frac{-1-5}{2} = -3\ \mathrm{m/s^2$}$$

Question 6

Which of the following statements about displacement is correct?

Accepted Answer

Displacement has both magnitude and direction.

Question 7

A car travels at a constant velocity of $$10\ \mathrm{m/s}$$ for $$5\ \mathrm{s}. $$What is its displacement?

Accepted Answer

$$50\ \mathrm{m}$$

Question 8

On a position vs. time graph, what does a horizontal line indicate about the object's motion?

Accepted Answer

The object is at rest.

Question 9

If an object starts at $$s_i = 3\ \mathrm{m}$$ and moves with a velocity $$V = 4\ \mathrm{m/s}$$ for $$t = 2\ \mathrm{s}$$, what is its final position using the kinematic equation $$S_f = S_i + V \Delta t$$?

Accepted Answer

$$S_f = 3 + 4 	imes 2 = 11\ \mathrm{m}$$

Question 10

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

Accepted Answer

The object has a constant negative velocity.

Question 11

Which of the following is true about acceleration?

Accepted Answer

Acceleration is the slope of a velocity vs. time graph.

Question 12

A runner moves from $$x = 0\ \mathrm{m} to$$ $$x = 100\ \mathrm{m} in$$ $$10\ \mathrm{s}$$, then stands still for $$5\ \mathrm{s}$$, then returns to $$x = 40\ \mathrm{m} in$$ $$5\ \mathrm{s}. $$What is the runner's average velocity over the entire $$20\ \mathrm{s}$$?

Accepted Answer

$$\frac{40}{20} = 2\ \mathrm{m/s}$$

Question 13

If the velocity vs. time graph of an object is a horizontal line at $$v = 3\ \mathrm{m/s}$$, what is the object's acceleration?

Accepted Answer

$$0\ \mathrm{m/s^2$}$$

Question 14

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

Accepted Answer

$$v = 2 	imes 5 = 10\ \mathrm{m/s}$$

Question 15

Which of the following is NOT a correct statement about velocity?

Accepted Answer

Velocity is always equal to speed.

Question 16

A ball is dropped from a height and accelerates downward due to gravity. Which graph best represents its velocity vs. time?

Accepted Answer

A straight line with positive slope starting from zero.

Question 17

If an object's position changes from $$x_1 = -2$$\ \mathrm{m}$$ to x_2$ = 4\ \mathrm{m}$$ over $$3\ \mathrm{s}$$, what is its displacement and average velocity?

Accepted Answer

Displacement: $$6\ \mathrm{m}$$, Average velocity: $$2\ \mathrm{m/s}$$

Question 18

A car accelerates from $$v_i = 0\ \mathrm{m/s} to$$ $$v_f = 20\ \mathrm{m/s} in$$ $$4\ \mathrm{s}. $$What is its acceleration?

Accepted Answer

$$a = \frac{20-0}{4} = 5\ \mathrm{m/s^2$}$$

Kinematics: Displacement, Velocity, and Acceleration in One Dimension

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