Q: A projectile is launched at $$v_0$$ and angle $$\theta. $$Which equation gives the range $$R ($$horizontal distance traveled) on level ground?

$$R = \frac{v_0$^2 \sin(2\theta)}{g}$$

Q: A projectile is launched at $$v_0 = 15$$\ \mathrm{m/s}$$ at 45$$^\circ$$. What is the time to reach the maximum height? (Use g = 9.8$$\ \mathrm{$$m/s^2$$}$$)

$$t = \frac{v_0$ \sin(\theta)}{g}$$

Question 1

A ball is thrown horizontally from the top of a 45 m high building with an initial speed of 10 m/s. Neglecting air resistance, how far from the base of the building does the ball land? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$\approx 30\ \mathrm{m}$$

Question 2

Which of the following best describes the path of a projectile launched at an angle above the horizontal, neglecting air resistance?

Accepted Answer

A parabolic curve

Question 3

A red ball is dropped from rest at the same instant a yellow ball is thrown horizontally from the same height. Which statement is true about the time it takes for both balls to hit the ground (neglecting air resistance)?

Accepted Answer

Both balls hit the ground at the same time.

Question 4

A projectile is launched at an angle $$	heta$$ with an initial speed $$v_0. $$What is the correct expression for its initial vertical velocity component?

Accepted Answer

$$v_0$$ \sin(	heta)$$

Question 5

A hunter aims directly at a monkey hanging from a branch. At the instant the hunter fires, the monkey lets go and begins to fall. If the dart is fast enough, what will happen?

Accepted Answer

The dart will hit the monkey.

Question 6

A projectile is launched horizontally from a 32 m high building and lands 40 m from the base. What was its initial speed? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

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

Question 7

Which of the following equations gives the time of flight for a projectile launched horizontally from a height $$h$$?

Accepted Answer

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

Question 8

A soccer ball is kicked 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 9

Which of the following statements about projectile motion is correct?

Accepted Answer

The vertical acceleration of a projectile is constant and equal to $$g.$$

Question 10

A projectile is launched at $$v_0$$ and angle $$	heta. $$Which equation gives the range $$R ($$horizontal distance traveled) on level ground?

Accepted Answer

$$R = \frac{v_0$^2 \sin(2	heta)}{g}$$

Question 11

If air resistance is neglected, which factor does NOT affect the time a projectile spends in the air when launched horizontally from a given height?

Accepted Answer

The initial horizontal velocity

Question 12

A projectile is launched at $$v_0 = 25$$\ \mathrm{m/s}$$ at an angle $$	heta = 60^\circ$$. What is the initial horizontal velocity component?

Accepted Answer

$$25 \cos(60^\circ)$$

Question 13

A ball is thrown horizontally from a cliff and lands 80 m away after 4 s. What was its initial speed?

Accepted Answer

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

Question 14

Which of the following best explains why a horizontally launched projectile and a dropped object hit the ground at the same time (neglecting air resistance)?

Accepted Answer

Both have the same initial vertical velocity and experience the same vertical acceleration.

Question 15

A projectile is launched at $$v_0 = 15$$\ \mathrm{m/s}$$ at 45$$^\circ$$. What is the time to reach the maximum height? (Use g = 9.8$$\ \mathrm{$$m/s^2$$}$$)

Accepted Answer

$$t = \frac{v_0$ \sin(	heta)}{g}$$

Question 16

A projectile is launched at $$v_0 = 20$$\ \mathrm{m/s}$$ at 30$$^\circ$$. What is the maximum height reached? (Use g = 9.8$$\ \mathrm{$$m/s^2$$}$$)

Accepted Answer

$$h = \frac{(v_0$ \sin(\$$theta))^2$$}{2g}$$

Projectile Motion: Principles and Applications

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