Question 1

A car starts from rest and accelerates uniformly at $$2\ \mathrm{m/s^2$}$$ for $$10\ \mathrm{s}. $$What is the car's final velocity?

Accepted Answer

$$20\ \mathrm{m/s}$$

Question 2

A ball is thrown horizontally from the top of a $$45\ \mathrm{m}$$ high cliff with a speed of $$8\ \mathrm{m/s}. $$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 3

Which of the following is a vector quantity?

Accepted Answer

Displacement

Question 4

A projectile is launched at an angle of $$30^\circ$$ above the horizontal with an initial speed of $$20\ \mathrm{m/s}. $$What is the initial vertical component of its velocity?

Accepted Answer

$$20 \sin 30^\circ = 10\ \mathrm{m/s}$$

Question 5

A cyclist moves in a circle of radius $$25\ \mathrm{m} at a $$constant speed of $$5\ \mathrm{m/s}. $$What is the magnitude of the cyclist's acceleration?

Accepted Answer

$$1\ \mathrm{m/s^2$}$$

Question 6

A rock is dropped from rest from a height $$h. $$Which equation gives the time $$t it $$takes to reach the ground? (Neglect air resistance)

Accepted Answer

$$t = \sqrt{\dfrac{2h}{g}}$$

Question 7

A runner accelerates from $$4\ \mathrm{m/s} to$$ $$8\ \mathrm{m/s} in$$ $$2\ \mathrm{s}. $$What is the runner's average acceleration?

Accepted Answer

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

Question 8

Which of the following statements about projectile motion is correct?

Accepted Answer

The horizontal velocity remains constant if air resistance is neglected.

Question 9

A vector has components $$A_x = 6$$ and $$A_y = 8. $$What is the magnitude of the vector?

Accepted Answer

$$10$$

Question 10

A car travels $$100\ \mathrm{km}$$ east and then $$60\ \mathrm{km}$$ north. What is the magnitude of its displacement?

Accepted Answer

$$\sqrt{100^2$ + 60^2$} = 116\ \mathrm{km}$$

Question 11

A ball is thrown straight up with an initial velocity of $$15\ \mathrm{m/s}. $$What is the maximum height it reaches? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$11.5\ \mathrm{m}$$

Question 12

Which of the following best describes the difference between speed and velocity?

Accepted Answer

Velocity has both magnitude and direction, while speed has only magnitude.

Question 13

A stone 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 stone land? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$14.3\ \mathrm{m}$$

Question 14

A car moves in a circle of radius $$50\ \mathrm{m} at a $$constant speed of $$20\ \mathrm{m/s}. $$What is the period of one revolution?

Accepted Answer

$$15.7\ \mathrm{s}$$

Question 15

Which of the following is NOT a property of vectors?

Accepted Answer

Vectors can be divided by other vectors.

Question 16

A train moves with a constant acceleration. If its velocity increases from $$10\ \mathrm{m/s} to$$ $$30\ \mathrm{m/s}$$ over a distance of $$200\ \mathrm{m}$$, what is its acceleration?

Accepted Answer

$$4.0\ \mathrm{m/s^2$}$$

Question 17

A ball is thrown at $$20\ \mathrm{m/s} at an $$angle of $$45^\circ$$ above the horizontal. What is the range of the projectile? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$40.8\ \mathrm{m}$$

Question 18

A student walks $$3\ \mathrm{km}$$ east, then $$4\ \mathrm{km}$$ north, and finally $$5\ \mathrm{km}$$ west. What is the magnitude of the student's displacement from the starting point?

Accepted Answer

$$4.47\ \mathrm{km}$$

Question 19

Which of the following best describes uniform circular motion?

Accepted Answer

The speed is constant, but the velocity is changing.

Question 20

A car accelerates from rest at $$3\ \mathrm{m/s^2$}$$ for $$4\ \mathrm{s}$$, then continues at constant speed for $$6\ \mathrm{s}. $$What is the total distance traveled?

Accepted Answer

$$72\ \mathrm{m}$$

Physics 5A Midterm 1 Content Guide: Vectors, Kinematics, and Circular Motion

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