Q: A student converts $$5\ \text{km} to $$meters. Which calculation is correct?

$$5 \times 1000 = 5000\ \text{m}$$

Question 1

A car travels 100 km in 2 hours. What is its average speed in meters per second?

Accepted Answer

$$13.9\ 	ext{m/s}$$

Question 2

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

Accepted Answer

Velocity is a vector quantity, while speed is a scalar.

Question 3

A ball is dropped from rest from a height of 20 m. Ignoring air resistance, how long does it take to reach the ground? (Use $$g = 9.8\ 	ext{m/s}^2)$$

Accepted Answer

$$2.02\ 	ext{s}$$

Question 4

Which of the following is NOT a correct unit for acceleration?

Accepted Answer

$$	ext{m/s}$$

Question 5

A vector $$\	extbf{A}$$ has components $$A_x = 3$$ and $$A_y = 4. $$What is the magnitude of $$\	extbf{A}$$?

Accepted Answer

$$5$$

Question 6

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

Accepted Answer

$$17.3\ 	ext{m/s}$$

Question 7

Which equation is used to find the final velocity $$v of an $$object undergoing constant acceleration $$a$$ over time $$t$$ from initial velocity $$v_0$$?

Accepted Answer

$$v = v_0$ + a t$$

Question 8

A cyclist moves along a straight road with a velocity given by $$v(t) = 2t + 3$$ ($$	ext{m/s}). $$What is the acceleration at $$t = 4\ 	ext{s}$$?

Accepted Answer

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

Question 9

A vector $$\	extbf{B}$$ has a magnitude of $$10$$ and points at $$60^\circ$$ above the x-axis. What are its $$x$$ and $$y$$ components?

Accepted Answer

$$B_x = 5,\ B_y = 8.7$$

Question 10

A stone is thrown horizontally from a cliff with a speed of $$15\ 	ext{m/s}. If $$the cliff is $$45\ 	ext{m}$$ high, how far from the base of the cliff does the stone land? (Use $$g = 9.8\ 	ext{m/s}^2)$$

Accepted Answer

$$33\ 	ext{m}$$

Question 11

Which of the following statements about projectile motion is correct?

Accepted Answer

The vertical acceleration is constant and equal to $$g.$$

Question 12

A car accelerates from rest at $$4\ 	ext{m/s}^2$$ for $$5\ 	ext{s}. $$What is its final velocity?

Accepted Answer

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

Question 13

Which of the following is the correct dimensional formula for velocity?

Accepted Answer

$$[L][T]^{-1}$$

Question 14

A runner moves in a circle of radius $$10\ 	ext{m} at a $$constant speed of $$5\ 	ext{m/s}. $$What is the magnitude of their acceleration?

Accepted Answer

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

Question 15

If a vector $$\	extbf{C} is $$subtracted from vector $$\	extbf{D}$$, which of the following represents the result graphically?

Accepted Answer

Reverse $$\	extbf{C}$$, then add it to $$\	extbf{D}$$ using the head-to-tail method.

Question 16

A student converts $$5\ 	ext{km} to $$meters. Which calculation is correct?

Accepted Answer

$$5 	imes 1000 = 5000\ 	ext{m}$$

Question 17

A projectile is launched from ground level with a speed of $$25\ 	ext{m/s} at$$ $$45^\circ. $$What is the maximum height reached? (Use $$g = 9.8\ 	ext{m/s}^2)$$

Accepted Answer

$$15.9\ 	ext{m}$$

Question 18

Which of the following best describes the motion of an object moving at constant speed around a circular track?

Accepted Answer

The velocity vector changes direction but not magnitude.

Question 19

A car moves with a velocity of $$20\ 	ext{m/s}$$ east and $$10\ 	ext{m/s}$$ north. What is the magnitude of its resultant velocity?

Accepted Answer

$$22.4\ 	ext{m/s}$$

Question 20

A ball is thrown upward with an initial velocity of $$12\ 	ext{m/s}. $$How long does it take to reach its maximum height? (Use $$g = 9.8\ 	ext{m/s}^2)$$

Accepted Answer

$$1.22\ 	ext{s}$$

Study Guide: Chapters 1–4 (Motion, Kinematics, and Vectors)

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