Q: A runner moves from $$x_1 = 50.0$$\ \text{m}$$ to x_2$ = 30.5\ \text{m} in$$ $$3.00\ \text{s}. $$What is the runner’s average velocity?

$$-6.5\ \text{m/s} in $$the $$x$$ direction

Question 1

A runner moves from $$x_1 = 50.0$$\ 	ext{m}$$ to x_2$ = 30.5\ 	ext{m} in$$ $$3.00\ 	ext{s}. $$What is the runner’s average velocity?

Accepted Answer

$$-6.5\ 	ext{m/s} in $$the $$x$$ direction

Question 2

Which of the following statements about displacement is correct?

Accepted Answer

Displacement is a vector quantity and can be negative.

Question 3

A car accelerates from rest to $$90\ 	ext{km/h} in$$ $$5.0\ 	ext{s}. $$What is the magnitude of its average acceleration in $$	ext{m/s}^2$$?

Accepted Answer

$$5.0\ 	ext{m/s}^2$$

Question 4

Which equation correctly defines instantaneous velocity?

Accepted Answer

$$v = \frac{dx}{dt}$$

Question 5

A ball is dropped from a tower. Ignoring air resistance, what determines the time it takes to reach the ground?

Accepted Answer

The height of the tower and acceleration due to gravity

Question 6

Which of the following is true about average speed and average velocity?

Accepted Answer

Average speed is the total distance divided by time, while average velocity is displacement divided by time.

Question 7

A swimmer completes two lengths of a 50-m pool in 46.91 s. What is the swimmer’s average velocity?

Accepted Answer

$$0\ 	ext{m/s}$$

Question 8

If a car moves from $$x = 0 to$$ $$x = 10$$ and back to $$x = 0 in 60 $$seconds, what is its average velocity?

Accepted Answer

$$0\ 	ext{m/s}$$

Question 9

Which of the following best describes the difference between kinematics and dynamics?

Accepted Answer

Kinematics describes motion without regard to its causes, while dynamics studies the forces causing motion.

Question 10

A jet engine’s position is given by $$x = At^2$ + B$$, where $$A = 2.10\ 	ext{m/s}^2$$ and $$B = 2.80\ 	ext{m}. $$What is the instantaneous velocity at $$t = 5.00\ 	ext{s}$$?

Accepted Answer

$$21.0\ 	ext{m/s}$$

Question 11

Which of the following is the correct formula for average acceleration?

Accepted Answer

$$a_{avg} = \frac{\Delta v}{\Delta t}$$

Question 12

A ball is thrown downward with an initial velocity of $$3.00\ 	ext{m/s}$$ from a tower. How does its speed after 1.00 s compare to a ball simply dropped?

Accepted Answer

It is greater than the dropped ball.

Question 13

Which of the following is NOT a parameter defined in straight-line kinematics?

Accepted Answer

Force

Question 14

If $$x(t) = 3t - 2$$, what is the velocity of the particle?

Accepted Answer

$$3\ 	ext{m/s}$$

Question 15

Which of the following statements about freely falling objects is correct?

Accepted Answer

All objects fall with the same acceleration due to gravity if air resistance is negligible.

Question 16

The area under a velocity-time ($$v-t) $$graph represents:

Accepted Answer

Displacement

Question 17

A car moves from $$x_1 = 277$$\ 	ext{m}$$ to x_2$ = 19\ 	ext{m} in$$ $$9.0\ 	ext{s}. $$What is its average velocity?

Accepted Answer

$$-29\ 	ext{m/s}$$

Question 18

Which of the following is the correct integral for finding position $$x(t)$$ given velocity $$v(t)$$?

Accepted Answer

$$x(t) = \int v(t)\ dt$$

Question 19

If a particle’s position is given by $$x = 2t^2$, what is its instantaneous velocity at t = 3$$\ 	ext{s}$$?

Accepted Answer

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

Motion Along a Straight Line: Kinematics in One Dimension

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