Question 1

A projectile is launched from the ground with an initial velocity $$v_0 at an $$angle $$\$$alpha_0$$ above the horizontal. Which of the following best describes the acceleration of the projectile during its flight (neglecting air resistance)?

Accepted Answer

The acceleration is always downward with magnitude $$g.$$

Question 2

A basketball player shoots a ball with an initial velocity $$v_0 at an $$angle $$\$$alpha_0$$ to the horizontal. If the ball and the player's hand are at the same height, what launch angle will give the maximum horizontal range?

Accepted Answer

$$45^\circ$$

Question 3

A red ball is dropped from rest, and a yellow ball is fired horizontally from the same height at the same instant. Neglecting air resistance, which ball hits the ground first?

Accepted Answer

Both balls hit the ground at the same time.

Question 4

Which of the following equations gives the maximum height $$h$$ reached by a projectile launched with initial speed $$v_0 at an $$angle $$\$$alpha_0$$ above the horizontal?

Accepted Answer

$$h = \frac{v_0$^2 \sin^2$ \$$alpha_0$$}{2g}$$

Question 5

A projectile is launched with initial velocity $$v_0 at an $$angle $$\$$alpha_0$$ from the ground. Which of the following expressions gives the total time of flight until it returns to the same vertical level?

Accepted Answer

$$t = \frac{2 v_0$ \sin \$$alpha_0$$}{g}$$

Question 6

A zookeeper fires a tranquilizer dart directly at a monkey hanging from a tree. The monkey lets go at the instant the dart is fired. Ignoring air resistance, where should the zookeeper aim to hit the monkey?

Accepted Answer

Directly at the monkey.

Question 7

Which of the following statements about projectile motion is correct?

Accepted Answer

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

Question 8

A projectile is launched with initial speed $$v_0 at an $$angle $$\$$alpha_0$$. What is the formula for its horizontal range R$ (assuming it lands at the same height it was launched)?

Accepted Answer

$$R = \frac{v_0$^2 \sin 2\$$alpha_0$$}{g}$$

Question 9

A ball is thrown with initial velocity $$v_0 at an $$angle $$\$$alpha_0$$ above the horizontal. At the top of its trajectory, which of the following is true?

Accepted Answer

The vertical component of velocity is zero.

Question 10

A package is dropped from a plane flying horizontally at constant speed and altitude. Neglecting air resistance, what is the path of the package as seen from the ground?

Accepted Answer

It moves forward and falls, remaining directly under the plane.

Question 11

If a projectile is launched at $$30^\circ$$ and $$60^\circ$$ with the same initial speed $$v_0$$, and from the same height, which of the following is true about their ranges?

Accepted Answer

Both have the same range.

Question 12

A projectile is launched from the ground with initial velocity $$v_0 at $$angle $$\$$alpha_0$$. Which of the following is the correct expression for the initial velocity components?

Accepted Answer

$$v_{0x} = v_0$ \cos \$$alpha_0$$, v$$_{0y} = $$v_0$$ \sin \$$alpha_0$$

Question 13

A projectile is launched from the ground and lands at the same height. If the initial speed is doubled, how does the maximum range change?

Accepted Answer

It becomes four times greater.

Question 14

A projectile is launched at an angle $$\$$alpha_0$$ with initial speed v_0$. At what angle is the range maximized, and what is the maximum range?

Accepted Answer

$$\$$alpha_0$$ = 45^\circ$$, $$R_{max} = \frac{v_0$^2}{g}$$

Question 15

A projectile is launched from the ground with initial velocity $$v_0 at $$angle $$\$$alpha_0$$. Which of the following statements is true about the symmetry of its trajectory?

Accepted Answer

The time to reach maximum height equals the time to descend from it.

Projectile Motion and Two-Dimensional Kinematics

Study Guide - Practice Questions

Study Guide - Flashcards