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

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

Question 1

A runner accelerates from rest at a constant rate of $$2.0\ \mathrm{m/s^2$}$$ for $$3.0\ \mathrm{s}. $$What is her final velocity?

Accepted Answer

$$6.0\ \mathrm{m/s}$$

Question 2

Which of the following best describes the motion shown in the diagram where the dots are equally spaced and the velocity vectors are all the same length?

Accepted Answer

The object is moving with constant velocity (uniform motion).

Question 3

Given the kinematic equation $$x_f = x_i + (v_x)_i \Delta t + \frac{1}{2} a_x (\Delta t)^2$, what is the displacement if x_i = 0$, (v_x)_i = 4$$\ \mathrm{m/s}$$, a_x = 2$$\ \mathrm{$$m/s^2$$}$$, and $$\Delta t = 3\ \mathrm{s}$$?

Accepted Answer

$$21\ \mathrm{m}$$

Question 4

The slope of a position-versus-time graph at a specific point gives:

Accepted Answer

The object's instantaneous velocity at that point.

Question 5

A car travels for 1 hour at $$30\ \mathrm{mph}$$, then for 1 hour at $$60\ \mathrm{mph}$$, and then for 2 hours at $$50\ \mathrm{mph}. $$What is the total distance traveled?

Accepted Answer

$$190\ \mathrm{mi}$$

Question 6

The area under a velocity-versus-time graph represents:

Accepted Answer

The object's displacement.

Question 7

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

Accepted Answer

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

Question 8

A car starts from rest and accelerates at $$4.0\ \mathrm{m/s^2$}$$ for $$5.0\ \mathrm{s}. $$How far does it travel in this time?

Accepted Answer

$$50\ \mathrm{m}$$

Question 9

A 1-pound block and a 100-pound block are released from rest at the top of a frictionless hill. Which statement is correct?

Accepted Answer

Both blocks reach the bottom at the same time.

Question 10

A velocity-versus-time graph for a particle is a straight line with a positive slope. What does this indicate about the particle's motion?

Accepted Answer

The particle is moving with constant acceleration.

Question 11

A skier slides down a frictionless incline of length $$100\ \mathrm{m}$$ and reaches a speed of $$20\ \mathrm{m/s} at $$the bottom. What is the angle $$	heta of $$the incline? (Use $$g = 10\ \mathrm{m/s^2$})$$

Accepted Answer

$$\sin$$^{-1}$$(0.2)$$

Question 12

A car moves with constant velocity. Which of the following is true about its acceleration?

Accepted Answer

The acceleration is zero.

Question 13

A velocity-versus-time graph is shown as a horizontal line at $$v_x = 10\ \mathrm{m/s}$$ from $$t = 0 to$$ $$t = 5\ \mathrm{s}. $$What is the displacement during this interval?

Accepted Answer

$$50\ \mathrm{m}$$

Question 14

A car accelerates from $$10\ \mathrm{m/s} to$$ $$30\ \mathrm{m/s} in$$ $$4.0\ \mathrm{s}. $$What is its average acceleration?

Accepted Answer

$$2.5\ \mathrm{m/s^2$}$$

Question 15

A ball is dropped from rest from a height of $$20\ \mathrm{m}. $$How long does it take to reach the ground? (Use $$g = 10\ \mathrm{m/s^2$})$$

Accepted Answer

$$2.0\ \mathrm{s}$$

Question 16

A car's position-versus-time graph is a parabola opening upwards. What does this indicate about the car's motion?

Accepted Answer

The car is moving with constant acceleration.

Question 17

A particle moves along a straight line with velocity $$v_x = 4t\ \mathrm{m/s}. $$What is the displacement from $$t = 0 to$$ $$t = 3\ \mathrm{s}$$?

Accepted Answer

$$18\ \mathrm{m}$$

Question 18

A car starts from rest and reaches $$v = 20\ \mathrm{m/s} in$$ $$10\ \mathrm{s}$$ with constant acceleration. What is the acceleration?

Accepted Answer

$$1.0\ \mathrm{m/s^2$}$$

Question 19

A car moves with a velocity given by $$v_x = 10 - 2t (in m/s). At $$what time does the car come to rest?

Accepted Answer

$$5\ \mathrm{s}$$

Kinematics in One Dimension: Physics with Calculus Study Notes

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