Question 1

A police officer starts from rest and pursues a car moving at a constant speed of $$15.0\ \mathrm{m/s}$$ with a constant acceleration of $$3.0\ \mathrm{m/s^2$}. $$How much time elapses before the officer catches up with the car?

Accepted Answer

$$10.0\ \mathrm{s}$$

Question 2

For the same pursuit scenario, what is the officer's speed at the moment he catches up with the car?

Accepted Answer

$$30.0\ \mathrm{m/s}$$

Question 3

A car starts from rest at a traffic light and accelerates at $$2.50\ \mathrm{m/s^2$}. At $$the same instant, a truck traveling at $$15.0\ \mathrm{m/s}$$ overtakes and passes the car. How far beyond its starting point does the car overtake the truck?

Accepted Answer

$$180.0\ \mathrm{m}$$

Question 4

A ball is thrown straight down at $$10.0\ \mathrm{m/s}$$ from a $$29.4\ \mathrm{m}$$ high building. How long does it take to reach the ground? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$2.0\ \mathrm{s}$$

Question 5

A ball is dropped from the top of a $$24\ \mathrm{m}$$ high building. At the same instant, a second ball is thrown straight up from the base of the building with an initial velocity of $$12\ \mathrm{m/s}. At $$what height above the ground do the two balls pass each other?

Accepted Answer

$$16\ \mathrm{m}$$

Question 6

A large boulder is ejected vertically upward from a volcano with an initial speed of $$40\ \mathrm{m/s}. $$What is the acceleration of the boulder at its highest point?

Accepted Answer

$$-9.8\ \mathrm{m/s^2$}$$

Question 7

A physics book slides off a horizontal tabletop with a speed of $$1.10\ \mathrm{m/s}$$ and strikes the floor in $$0.35\ \mathrm{s}. $$What is the height of the tabletop above the floor?

Accepted Answer

$$0.60\ \mathrm{m}$$

Question 8

A football is kicked from a point on the ground $$20.0\ \mathrm{m}$$ from the goalpost at an angle of $$30.0^\circ$$ above the horizontal with an initial speed of $$20.0\ \mathrm{m/s}. $$The crossbar is $$3.05\ \mathrm{m}$$ above the ground. What is the vertical distance between the ball and the crossbar when the ball passes directly above the crossbar?

Accepted Answer

$$1.0\ \mathrm{m}$$

Question 9

A boulder rolls down a hill with a constant acceleration and travels $$2\ \mathrm{m}$$ during the first second. How far does it travel between $$t = 1\ \mathrm{s}$$ and $$t = 2\ \mathrm{s}$$?

Accepted Answer

$$4\ \mathrm{m}$$

Question 10

A ball is thrown vertically upward with a velocity of $$20\ \mathrm{m/s}. $$What is the velocity of the ball $$2.0\ \mathrm{s}$$ after it is thrown? (Assume $$g = 9.8\ \mathrm{m/s^2$}$$ downward.)

Accepted Answer

$$0.4\ \mathrm{m/s}$$\ upward

Question 11

A car accelerates from rest at $$2.5\ \mathrm{m/s^2$}$$ for $$8.0\ \mathrm{s}. $$What is its final velocity?

Accepted Answer

$$20.0\ \mathrm{m/s}$$

Question 12

A ball is thrown straight up with an initial velocity of $$15.0\ \mathrm{m/s}. $$How long does it take to reach its maximum height?

Accepted Answer

$$2.0\ \mathrm{s}$$

Question 13

A car moving at $$20.0\ \mathrm{m/s}$$ comes to a stop in $$4.0\ \mathrm{s}$$ with constant acceleration. What is the magnitude of its acceleration?

Accepted Answer

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

Question 14

A stone is dropped from a bridge and hits the water $$2.0\ \mathrm{s}$$ later. What is the height of the bridge above the water? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$19.6\ \mathrm{m}$$

Question 15

A train moves at a constant speed of $$25.0\ \mathrm{m/s}. $$How far does it travel in $$3.0\ \mathrm{min}$$?

Accepted Answer

$$4500\ \mathrm{m}$$

Question 16

A projectile is launched horizontally from a $$20.0\ \mathrm{m}$$ high cliff with a speed of $$5.0\ \mathrm{m/s}. $$How far from the base of the cliff does it land?

Accepted Answer

$$10.1\ \mathrm{m}$$

Question 17

A car accelerates uniformly from $$10.0\ \mathrm{m/s} to$$ $$30.0\ \mathrm{m/s} in$$ $$5.0\ \mathrm{s}. $$What is the acceleration?

Accepted Answer

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

Kinematics and Projectile Motion: Problem Set Study Guide

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