Question 1

A cyclist travels 120 km in 2.5 hours. What is the cyclist's average speed in km/h?

Accepted Answer

$$48\ \mathrm{km/h}$$

Question 2

Two trains are moving towards each other on parallel tracks. Each train travels at $$80\ \mathrm{km/h}$$, and they are $$16\ \mathrm{km}$$ apart. How long will it take for the trains to meet?

Accepted Answer

$$0.2\ \mathrm{h}$$

Question 3

A car accelerates from rest to $$72\ \mathrm{km/h} in$$ $$8.0\ \mathrm{sec}. $$What is the acceleration in $$\mathrm{m/s^2$}$$? (Hint: $$1\ \mathrm{km/h} = 0.2778\ \mathrm{m/s})$$

Accepted Answer

Question 4

A runner increases her speed from $$5\ \mathrm{m/s} to$$ $$9\ \mathrm{m/s} in$$ $$2.0\ \mathrm{sec}. $$What is her acceleration?

Accepted Answer

$$2.0\ \mathrm{m/s^2$}$$

Question 5

A car decelerates uniformly from $$30\ \mathrm{m/s} to $$rest in $$10\ \mathrm{sec}. $$What is the distance covered during this time?

Accepted Answer

$$150\ \mathrm{m}$$

Question 6

A sports car can accelerate at $$2.0\ \mathrm{m/s^2$}. $$How long does it take to go from $$36\ \mathrm{km/h} to$$ $$108\ \mathrm{km/h}$$? (Hint: $$1\ \mathrm{km/h} = 0.2778\ \mathrm{m/s})$$

Accepted Answer

$$20\ \mathrm{sec}$$

Question 7

A car slows down uniformly from $$25\ \mathrm{m/s} to$$ $$5\ \mathrm{m/s} in$$ $$4.0\ \mathrm{sec}. $$What is the acceleration?

Accepted Answer

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

Question 8

A bus travels at $$60\ \mathrm{km/h}$$ for $$1.5\ \mathrm{h}$$, then at $$90\ \mathrm{km/h}$$ for $$0.5\ \mathrm{h}. $$What is the average speed for the entire trip?

Accepted Answer

$$67.5\ \mathrm{km/h}$$

Question 9

A car accelerates from $$10\ \mathrm{m/s} to$$ $$30\ \mathrm{m/s} in$$ $$5.0\ \mathrm{sec}. $$What distance does it cover during this time?

Accepted Answer

$$125\ \mathrm{m}$$

Question 10

A train moving at $$20\ \mathrm{m/s}$$ comes to a stop in $$40\ \mathrm{sec}. $$What is its acceleration?

Accepted Answer

$$-0.5\ \mathrm{m/s^2$}$$

Question 11

A car travels $$150\ \mathrm{km} in$$ $$2.0\ \mathrm{h}$$, then $$90\ \mathrm{km} in$$ $$1.0\ \mathrm{h}. $$What is the average speed for the whole journey?

Accepted Answer

$$80\ \mathrm{km/h}$$

Question 12

A car accelerates from rest at $$3.0\ \mathrm{m/s^2$}$$ for $$6.0\ \mathrm{sec}. $$What is its final speed?

Accepted Answer

$$18\ \mathrm{m/s}$$

Question 13

A car slows down from $$20\ \mathrm{m/s} to$$ $$0\ \mathrm{m/s} in$$ $$5.0\ \mathrm{sec}. $$What is the distance it travels while stopping?

Accepted Answer

$$25\ \mathrm{m}$$

Question 14

A car accelerates from $$15\ \mathrm{m/s} to$$ $$25\ \mathrm{m/s} in$$ $$2.0\ \mathrm{sec}. $$What is the acceleration?

Accepted Answer

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

Question 15

A car travels at $$60\ \mathrm{km/h}$$ for $$30\ \mathrm{min}$$, then at $$90\ \mathrm{km/h}$$ for $$30\ \mathrm{min}. $$What is the average speed for the entire trip?

Accepted Answer

$$75\ \mathrm{km/h}$$

Question 16

A car accelerates from $$0 to$$ $$100\ \mathrm{km/h} in$$ $$10\ \mathrm{sec}. $$What is the acceleration in $$\mathrm{m/s^2$}$$? (Hint: $$1\ \mathrm{km/h} = 0.2778\ \mathrm{m/s})$$

Accepted Answer

$$2.78\ \mathrm{m/s^2$}$$

Question 17

A car travels $$200\ \mathrm{km} in$$ $$4.0\ \mathrm{h}$$, then $$100\ \mathrm{km} in$$ $$2.0\ \mathrm{h}. $$What is the average speed for the whole journey?

Accepted Answer

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

Question 18

A car decelerates from $$40\ \mathrm{m/s} to$$ $$0\ \mathrm{m/s} in$$ $$8.0\ \mathrm{sec}. $$What is the acceleration?

Accepted Answer

$$-5.0\ \mathrm{m/s^2$}$$

Question 19

A car accelerates from $$10\ \mathrm{m/s} to$$ $$30\ \mathrm{m/s} in$$ $$4.0\ \mathrm{sec}. $$What is the distance covered during this time?

Accepted Answer

$$80\ \mathrm{m}$$

Question 20

A car travels at $$90\ \mathrm{km/h}$$ for $$2.0\ \mathrm{h}$$, then at $$60\ \mathrm{km/h}$$ for $$1.0\ \mathrm{h}. $$What is the average speed for the entire trip?

Accepted Answer

$$80\ \mathrm{km/h}$$

Kinematics and Motion: Study Notes for Introductory Physics

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