Question 1

A car starts from rest and accelerates uniformly at $$2\ \mathrm{m/s^2$}$$ for $$5\ \mathrm{s}. $$What is the car's displacement during this time?

Accepted Answer

$$50\ \mathrm{m}$$

Question 2

A ball is thrown vertically upward with an initial velocity of $$15\ \mathrm{m/s}. $$Neglecting air resistance, what is the maximum height it reaches? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$11.5\ \mathrm{m}$$

Question 3

A cyclist moves in a circle of radius $$10\ \mathrm{m} at a $$constant speed of $$5\ \mathrm{m/s}. $$What is the magnitude of the cyclist's centripetal acceleration?

Accepted Answer

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

Question 4

A 3 kg object is acted on by a net force of $$12\ \mathrm{N} to $$the right. What is its acceleration?

Accepted Answer

$$4\ \mathrm{m/s^2$}$$

Question 5

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

Accepted Answer

$$3.0\ \mathrm{s}$$

Question 6

A car traveling at $$20\ \mathrm{m/s}$$ comes to a stop in $$4\ \mathrm{s}$$ with constant acceleration. What is the magnitude of its acceleration?

Accepted Answer

$$5\ \mathrm{m/s^2$}$$

Question 7

A block slides down a frictionless incline making an angle $$30^\circ$$ with the horizontal. What is the acceleration of the block down the incline? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$4.9\ \mathrm{m/s^2$}$$

Question 8

A runner accelerates from $$2\ \mathrm{m/s} to$$ $$8\ \mathrm{m/s} in$$ $$3\ \mathrm{s}. $$What is the average acceleration?

Accepted Answer

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

Question 9

A stone is dropped from rest from a bridge and hits the water after $$2.5\ \mathrm{s}. $$What is the height of the bridge above the water? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$30.6\ \mathrm{m}$$

Question 10

A car moves along a straight road such that its position as a function of time is given by $$x = 4t^2$ + 2t + 1$$, where $$x is in $$meters and $$t in $$seconds. What is the car's acceleration?

Accepted Answer

$$8\ \mathrm{m/s^2$}$$

Question 11

A 5 kg mass is suspended from a ceiling. What is the magnitude of the gravitational force acting on it? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$49\ \mathrm{N}$$

Question 12

A car accelerates from rest at a constant rate and covers $$100\ \mathrm{m} in$$ $$8\ \mathrm{s}. $$What is its acceleration?

Accepted Answer

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

Question 13

A ball is thrown horizontally from a $$20\ \mathrm{m}$$ high building with a speed of $$10\ \mathrm{m/s}. $$How far from the base of the building does the ball land? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$14.3\ \mathrm{m}$$

Question 14

A car travels $$60\ \mathrm{km}$$ north, then $$80\ \mathrm{km}$$ east. What is the magnitude of its displacement?

Accepted Answer

$$100\ \mathrm{km}$$

Question 15

A force of $$15\ \mathrm{N} is $$applied at an angle of $$60^\circ$$ above the horizontal. What is the vertical component of the force?

Accepted Answer

$$12.99\ \mathrm{N}$$

Question 16

A car moves with a constant velocity of $$30\ \mathrm{m/s}$$ for $$10\ \mathrm{s}. $$What is the total distance traveled?

Accepted Answer

$$300\ \mathrm{m}$$

Question 17

A ball is thrown at an angle of $$45^\circ$$ with an initial speed of $$20\ \mathrm{m/s}. $$What is the horizontal component of its velocity?

Accepted Answer

$$14.14\ \mathrm{m/s}$$

Question 18

A car starts from rest and accelerates at $$3\ \mathrm{m/s^2$}$$ for $$6\ \mathrm{s}. $$What is its final velocity?

Accepted Answer

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

Question 19

A rock is thrown downward with an initial velocity of $$5\ \mathrm{m/s}$$ 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

$$1.67\ \mathrm{s}$$

Essential Equations and Concepts for Kinematics and Forces

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