Question 1

A student’s position is plotted as a function of time, as shown in the first image. What can you conclude about the student’s velocity between $$t = 0$$ and $$t = 10$$ min?

Accepted Answer

The velocity is increasing with time.

Question 2

Refer to the motion diagram in the second image. What does the equal spacing between the dots indicate about the object’s motion?

Accepted Answer

The object is moving with constant velocity.

Question 3

In the third image, the position-versus-time graph shows two segments with different slopes. What does the change in slope at $$t = 6$$ min indicate?

Accepted Answer

The object’s velocity decreases but remains positive.

Question 4

Which velocity-versus-time graph (fifth image) best represents an object that moves with a positive velocity, then instantly switches to a negative velocity of equal magnitude?

Accepted Answer

Graph C

Question 5

In the eighth image, the position-versus-time graph is a straight line. What does this tell you about the object’s motion?

Accepted Answer

The object is moving with constant velocity.

Question 6

Given the position-versus-time graph in the ninth image, what is the velocity of the object between $$t = 2 s $$and $$t = 4 s$$?

Accepted Answer

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

Question 7

The position-versus-time graph in the tenth image shows a curve that gets steeper with time. What does this indicate about the object’s acceleration?

Accepted Answer

The object has constant positive acceleration.

Question 8

In the twelfth image, at time $$t_0$$, when do objects 1 and 2 have the same velocity?

Accepted Answer

At time $$t_0$$

Question 9

A car is moving to the right and slowing down, as shown in the nineteenth image. What is the sign of the acceleration?

Accepted Answer

Negative

Question 10

A Boeing 747 accelerates from rest at $$a_x = 2.6\ \mathrm{m/s^2$} to a $$takeoff speed of $$70\ \mathrm{m/s}. $$Using $$v_{x,f} = v_{x,i} + a_x \Delta t$$, how long does it take to reach takeoff speed?

Accepted Answer

$$27\ \mathrm{s}$$

Question 11

A ball is dropped from rest and falls freely under gravity. Which equation best describes its velocity after time $$t$$?

Accepted Answer

$$v = v_0$ + gt$$

Question 12

A springbok leaps straight up, accelerating at $$35\ \mathrm{m/s^2$}$$ over $$0.70\ \mathrm{m}$$ before leaving the ground. What is its speed as it leaves the ground? (Use $$v_f^2$ = v_i^2$ + 2a\Delta x)$$

Accepted Answer

$$v_f = 7.0\ \mathrm{m/s}$$

Question 13

A car traveling at $$15\ \mathrm{m/s}$$ comes to rest in $$1.5\ \mathrm{s}$$ with constant acceleration. What is the magnitude of its acceleration?

Accepted Answer

$$-10\ \mathrm{m/s^2$}$$

Question 14

A ball is thrown straight up. At the highest point of its trajectory, what is its acceleration?

Accepted Answer

$$9.8\ \mathrm{m/s^2$}$$ downward

Question 15

A velocity-versus-time graph is a straight line with a positive slope. What does the area under the graph represent?

Accepted Answer

The object’s displacement

Question 16

A train travels 12 km in 10 min at constant speed. How long will it take to travel 60 km at the same speed?

Accepted Answer

50 min

Question 17

A car accelerates from rest at $$2.0\ \mathrm{m/s^2$}$$ for $$5.0\ \mathrm{s}. $$What is its final velocity?

Accepted Answer

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

Question 18

A runner moves with a velocity of $$3\ \mathrm{m/s}$$ for $$4\ \mathrm{s}$$, then $$5\ \mathrm{m/s}$$ for $$2\ \mathrm{s}. $$What is the total displacement?

Accepted Answer

$$22\ \mathrm{m}$$

Question 19

A ball is dropped from a height of $$20\ \mathrm{m}. $$How long does it take to reach the ground? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$2.02\ \mathrm{s}$$

Motion in One Dimension: Position, Velocity, and Acceleration

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