Q: A car travels 40 m east, then 30 m west. What is the car's displacement?

$$10\ \mathrm{m}$$\ \text{east}$

Q: A train moves east at $$60\ \mathrm{km/h}. A $$passenger walks west inside the train at $$5\ \mathrm{km/h}$$ relative to the train. What is the passenger's velocity relative to the ground?

$$55\ \mathrm{km/h}$$\ \text{east}$

Q: Which equation correctly defines average velocity?

$$\text{average velocity} = \dfrac{\text{displacement}}{\text{time elapsed}}$$

Q: Which of the following is the correct formula for instantaneous velocity?

$$v = \lim_{\Delta t \to 0} \dfrac{\Delta x}{\Delta t}$$

Question 1

A car travels 40 m east, then 30 m west. What is the car's displacement?

Accepted Answer

$$10\ \mathrm{m}$$\ 	ext{east}$

Question 2

A train moves east at $$60\ \mathrm{km/h}. A $$passenger walks west inside the train at $$5\ \mathrm{km/h}$$ relative to the train. What is the passenger's velocity relative to the ground?

Accepted Answer

$$55\ \mathrm{km/h}$$\ 	ext{east}$

Question 3

Which equation correctly defines average velocity?

Accepted Answer

$$	ext{average velocity} = \dfrac{	ext{displacement}}{	ext{time elapsed}}$$

Question 4

A car accelerates from rest at $$3\ \mathrm{m/s^2$}$$ for $$4\ \mathrm{s}. $$What is its final velocity?

Accepted Answer

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

Question 5

A ball is dropped from rest from a tower. How far does it fall in $$2.00\ \mathrm{s}$$? (Ignore air resistance, $$g = 9.80\ \mathrm{m/s^2$})$$

Accepted Answer

$$19.6\ \mathrm{m}$$

Question 6

Which of the following best describes the difference between distance and displacement?

Accepted Answer

Displacement is the straight-line change in position; distance is the total path length traveled.

Question 7

A car slows down from $$15.0\ \mathrm{m/s} to$$ $$5.0\ \mathrm{m/s} in$$ $$5.0\ \mathrm{s}. $$What is its average acceleration?

Accepted Answer

$$-2.0\ \mathrm{m/s^2$}$$

Question 8

An object is thrown vertically upward. At the highest point of its trajectory, its acceleration is:

Accepted Answer

$$g$$\ 	ext{downward}$

Question 9

Two objects are thrown upward. Object A has initial velocity $$v$$, object B has initial velocity $$2v. $$How does the maximum height reached by B compare to A?

Accepted Answer

Four times as high

Question 10

A shuttle lands and deploys a parachute, as shown in the image. If the velocity is to the right and acceleration is to the left, what is happening to the shuttle?

Accepted Answer

It is slowing down.

Question 11

A runner moves from $$x_1 = 30$$\ \mathrm{m}$$ to x_2$ = 10\ \mathrm{m} in$$ $$4\ \mathrm{s}. $$What is the average velocity?

Accepted Answer

$$-5\ \mathrm{m/s}$$

Question 12

Which of the following is true about freely falling objects near Earth's surface (ignoring air resistance)?

Accepted Answer

All objects fall with the same acceleration.

Question 13

A car starts from rest and accelerates at $$2\ \mathrm{m/s^2$}$$ for $$5\ \mathrm{s}. $$What distance does it cover?

Accepted Answer

$$25\ \mathrm{m}$$

Question 14

If an object moves with constant velocity, what is its acceleration?

Accepted Answer

$$a = 0$$

Question 15

A ball is thrown straight up with velocity $$v_0. $$How long does it take to return to the thrower's hand? (Ignore air resistance, $$g is $$acceleration due to gravity.)

Accepted Answer

$$t = 2v_0/g$$

Question 16

A car moves with velocity $$v_0$$ for time $$t$$ and then stops. What is the total displacement?

Accepted Answer

$$x = v_0$ t$$

Question 17

An object A is released from rest and 1 second later object B is released from the same point. As time progresses, the difference between their velocities:

Accepted Answer

Stays the same

Question 18

An object A is released from rest and 1 second later object B is released from the same point. As time progresses, the distance between these objects:

Accepted Answer

Increases

Question 19

Object A and B are accelerating from rest with the same acceleration, but A accelerates for twice as long as B. How does the distance traveled by A compare to B?

Accepted Answer

Four times as great

Question 20

Which of the following is the correct formula for instantaneous velocity?

Accepted Answer

$$v = \lim_{\Delta t 	o 0} \dfrac{\Delta x}{\Delta t}$$

Kinematics in One Dimension: Describing Motion

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