Question 1

A car travels 100 km north, then 60 km south, and finally 40 km north in 3 hours. What is the magnitude of the car's average velocity?

Accepted Answer

$$\displaystyle 26.7\ \mathrm{km/h}$$

Question 2

Which of the following statements about acceleration is correct for an object thrown vertically upward (neglecting air resistance)?

Accepted Answer

The acceleration is always $$-9.8\ \mathrm{m/s^2$}$$, directed downward.

Question 3

A cyclist increases her velocity from $$4.0\ \mathrm{m/s} to$$ $$10.0\ \mathrm{m/s} in$$ $$3.0\ \mathrm{s}. $$What is her average acceleration?

Accepted Answer

$$1.5\ \mathrm{m/s^2$}$$

Question 4

A ball is dropped from rest 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

$$2.02\ \mathrm{s}$$

Question 5

A train moves at a constant speed of $$30\ \mathrm{m/s}$$ for $$2.0\ \mathrm{min}. $$What distance does it travel?

Accepted Answer

$$3600\ \mathrm{m}$$

Question 6

A position-time graph of an object is a straight line with a positive slope. Which of the following is true?

Accepted Answer

The object is moving at a constant positive velocity.

Question 7

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

Accepted Answer

$$10.0\ \mathrm{m/s}$$

Question 8

A runner completes one lap around a $$400\ \mathrm{m}$$ circular track in $$80\ \mathrm{s}. $$What is the runner's average velocity for the lap?

Accepted Answer

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

Question 9

A car accelerates from $$15\ \mathrm{m/s} to$$ $$25\ \mathrm{m/s}$$ over a distance of $$200\ \mathrm{m}. $$What is its acceleration?

Accepted Answer

Question 10

A stone is thrown downward from a bridge with an initial speed of $$5.0\ \mathrm{m/s}. $$How far does it fall in $$2.0\ \mathrm{s}$$? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$29.2\ \mathrm{m}$$

Question 11

A car travels $$5\ \mathrm{km}$$ east, then $$3\ \mathrm{km}$$ west. What is the car's displacement?

Accepted Answer

$$2\ \mathrm{km}$$ east

Question 12

A velocity-time graph for an object is a straight line sloping downward, crossing the time axis. What does this indicate about the object's motion?

Accepted Answer

The object is accelerating in the negative direction and eventually reverses direction.

Question 13

A ball is thrown straight up with an initial velocity of $$20\ \mathrm{m/s}. $$What is the maximum height it reaches? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$20.4\ \mathrm{m}$$

Question 14

A car moves with a constant velocity of $$15\ \mathrm{m/s}$$ for $$10\ \mathrm{s}$$, then accelerates uniformly to $$25\ \mathrm{m/s} in$$ $$5\ \mathrm{s}. $$What is the total distance traveled?

Accepted Answer

$$175\ \mathrm{m}$$

Question 15

A student walks $$12\ \mathrm{m}$$ east, then $$5\ \mathrm{m}$$ west, and finally $$8\ \mathrm{m}$$ east. What is the student's total displacement?

Accepted Answer

$$15\ \mathrm{m}$$ east

Question 16

A car accelerates uniformly from rest to $$20\ \mathrm{m/s} in$$ $$8.0\ \mathrm{s}. $$What is the distance covered during this time?

Accepted Answer

$$80\ \mathrm{m}$$

Question 17

A ball is thrown horizontally from a $$45\ \mathrm{m}$$ high cliff with a speed of $$10\ \mathrm{m/s}. $$How long does it take to hit the ground? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$3.03\ \mathrm{s}$$

Question 18

A car travels $$100\ \mathrm{km} at$$ $$60\ \mathrm{km/h}$$ and then $$100\ \mathrm{km} at$$ $$40\ \mathrm{km/h}. $$What is the average speed for the entire trip?

Accepted Answer

$$50\ \mathrm{km/h}$$

Question 19

A position-time graph shows a horizontal line. What does this indicate about the object's motion?

Accepted Answer

The object is at rest.

Kinematics and Motion: Study Guide for Physics Chapters 1–3

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