Question 1

Tammy and Timmy observe a toy car moving along the floor. Tammy says, "the velocity of the car is $$+5.00\ \mathrm{cm/s}$$," while Timmy says, "No, the velocity of the car is $$-5.00\ \mathrm{cm/s}$$." Which of the following best explains how both Tammy and Timmy could be correct?

Accepted Answer

They are measuring the velocity from different reference frames, so the sign depends on their chosen direction.

Question 2

A bug crawls from $$3.51\ \mathrm{cm} to$$ $$1.74\ \mathrm{cm} in$$ $$11.25\ \mathrm{s}. $$What is the displacement of the bug?

Accepted Answer

$$-1.77\ \mathrm{cm}$$

Question 3

A runner covers $$125.7\ \mathrm{m}$$ from $$4.79\ \mathrm{s} to$$ $$43.97\ \mathrm{s}$$, then runs an additional $$20.5\ \mathrm{s} at a $$different speed. What is the average speed for the first part of the run?

Accepted Answer

$$3.21\ \mathrm{m/s}$$

Question 4

Given the function $$x = 6.12\ \mathrm{m/hr}^2 \cdot t^2$ + 13.6\ \mathrm{m}$$, which scenario best matches this motion?

Accepted Answer

A car starts from rest at $$13.6\ \mathrm{m}$$ and accelerates at $$6.12\ \mathrm{m/hr}^2.$$

Question 5

An object travels for $$7.0\ \mathrm{hours} at a $$constant velocity. If it then travels for $$3.5\ \mathrm{hours} at $$half the original velocity, what happens to the total distance traveled compared to traveling $$10.5\ \mathrm{hours} at $$the original velocity?

Accepted Answer

Question 6

An object moves according to $$x(t) = (12\ \mathrm{m/s}^2)t^2$ + (2.4\ \mathrm{m/s})t. $$What is the velocity as a function of time?

Accepted Answer

$$v(t) = 12\ \mathrm{m/s}^2 t + 2.4\ \mathrm{m/s}$$

Question 7

A ball is dropped from a $$12.6\ \mathrm{m}$$ tall building and takes $$3.0\ \mathrm{s} to $$reach the ground. What is the average speed of the ball during its fall?

Accepted Answer

$$4.2\ \mathrm{m/s}$$

Question 8

A soccer ball is kicked straight upward from the ground and returns to the ground. If the initial velocity is $$10.2\ \mathrm{m/s}$$, how much time does it take for the ball to reach its maximum height?

Accepted Answer

$$1.04\ \mathrm{s}$$

Question 9

Wile E. Coyote drops a large ball from a $$17.3\ \mathrm{m}$$ tall cliff. How long does it take for the ball to hit the ground? (Assume $$g = 9.8\ \mathrm{m/s}^2$$ and initial velocity is zero.)

Accepted Answer

$$1.88\ \mathrm{s}$$

Question 10

If an object moves according to $$x(t) = 6.12\ \mathrm{m/hr}^2 t^2$ + 13.6\ \mathrm{m}$$, what is its acceleration?

Accepted Answer

$$6.12\ \mathrm{m/hr}^2$$

Question 11

A runner covers $$125.7\ \mathrm{m} in$$ $$39.18\ \mathrm{s}$$, then runs an additional $$20.5\ \mathrm{s} at a $$different speed. If the total distance is $$200\ \mathrm{m}$$, what is the average speed for the entire run?

Accepted Answer

$$3.41\ \mathrm{m/s}$$

Question 12

An object travels for $$7.0\ \mathrm{hours} at $$velocity $$v$$, then for $$3.5\ \mathrm{hours} at $$velocity $$v/2. $$What is the average velocity over the $$10.5\ \mathrm{hours}$$?

Accepted Answer

$$0.75v$$

Question 13

A bug crawls from $$3.51\ \mathrm{cm} to$$ $$1.74\ \mathrm{cm} in$$ $$11.25\ \mathrm{s}. $$What is the average velocity?

Accepted Answer

$$-0.157\ \mathrm{cm/s}$$

Question 14

A ball is dropped from a building and takes $$3.0\ \mathrm{s} to $$reach the ground. What is the final velocity just before impact? (Assume $$g = 9.8\ \mathrm{m/s}^2)$$

Accepted Answer

$$-29.4\ \mathrm{m/s}$$

Question 15

A soccer ball is kicked straight upward with an initial velocity of $$10.2\ \mathrm{m/s}. $$What is the maximum height reached by the ball? (Assume $$g = 9.8\ \mathrm{m/s}^2)$$

Accepted Answer

$$5.31\ \mathrm{m}$$

Question 16

Wile E. Coyote drops a ball from a $$17.3\ \mathrm{m}$$ tall cliff. What is the velocity of the ball just before it hits the ground? (Assume $$g = 9.8\ \mathrm{m/s}^2)$$

Accepted Answer

$$-18.4\ \mathrm{m/s}$$

Kinematics Exam Practice – Study Notes and Worked Examples

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