Q: A projectile is launched with velocity $$V at $$angle $$\theta. $$What is the time of flight $$t$$?

$$t = \frac{2V \sin \theta}{g}$$

Q: A projectile is launched with velocity $$V at $$angle $$\theta. $$What is the formula for its range $$R$$?

$$R = \frac{V^2$ \sin 2\theta}{g}$$

Question 1

Which of the following best describes the difference between displacement and distance?

Accepted Answer

Displacement is the shortest path between two points, while distance is the total length of the path traveled.

Question 2

A car moves with a constant velocity $$V$$ for a time $$t. $$What is the displacement $$\Delta x$$?

Accepted Answer

$$\Delta x = V \cdot t$$

Question 3

Which graph feature represents the velocity in a position vs. time graph?

Accepted Answer

The slope of the line

Question 4

A ball is dropped from rest from a height $$h. $$What is its velocity just before hitting the ground?

Accepted Answer

$$v = \sqrt{2gh}$$

Question 5

A projectile is launched with initial velocity $$V at an $$angle $$	heta$$ above the horizontal. What is the formula for its maximum range $$R_{max}$$?

Accepted Answer

$$R_{max} = \frac{V^2$}{g}$$

Question 6

If the acceleration $$a is $$constant, which equation correctly relates final velocity $$V_f$$, initial velocity $$V_i$$, acceleration $$a$$, and displacement $$\Delta x$$?

Accepted Answer

$$V_f^2$ = V_i^2$ + 2a \Delta x$$

Question 7

A stone is thrown horizontally from a cliff with velocity $$V_x. $$What is the time $$t it $$takes to hit the ground from height $$h$$?

Accepted Answer

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

Question 8

For a projectile launched at an angle $$	heta$$, what is the initial vertical velocity component $$V_{y}$$?

Accepted Answer

$$V_{y} = V \sin 	heta$$

Question 9

A ball is thrown upward with initial velocity $$V_i. $$What is the maximum height $$h_{max} it $$reaches?

Accepted Answer

$$h_{max} = \frac{V_i^2$}{2g}$$

Question 10

A projectile is launched with velocity $$V at$$ $$45^\circ. $$What is the range $$R$$?

Accepted Answer

$$R = \frac{V^2$}{g}$$

Question 11

If a car accelerates from rest at a constant rate $$a$$ for time $$t$$, what is its final velocity $$V_f$$?

Accepted Answer

$$V_f = a t$$

Question 12

A ball is thrown horizontally from a height $$h$$ with velocity $$V_x. $$What is the horizontal distance $$\Delta x it $$travels before hitting the ground?

Accepted Answer

$$\Delta x = V_x \sqrt{\frac{2h}{g}}$$

Question 13

Which of the following statements about acceleration is correct?

Accepted Answer

Acceleration is the rate of change of velocity with respect to time.

Question 14

A ball is thrown upward with velocity $$V_i$$ and returns to the same height. What is its velocity when it returns?

Accepted Answer

$$-V_i$$

Question 15

A projectile is launched with velocity $$V at $$angle $$	heta. $$What is the time of flight $$t$$?

Accepted Answer

$$t = \frac{2V \sin 	heta}{g}$$

Question 16

A ball is dropped from a height $$h$$ and takes $$t$$ seconds to reach the ground. What is the value of $$h in $$terms of $$t$$ and $$g$$?

Accepted Answer

$$h = \frac{1}{2} g t^2$

Question 17

A projectile is launched with velocity $$V at $$angle $$	heta. $$What is the formula for its range $$R$$?

Accepted Answer

$$R = \frac{V^2$ \sin 2	heta}{g}$$

Question 18

A ball is thrown horizontally from a cliff and lands at a distance $$\Delta x$$ from the base. If the height of the cliff is doubled, what happens to $$\Delta x$$?

Accepted Answer

$$\Delta x$$ increases by a factor of $$\sqrt{2}$$

Question 19

A ball is thrown upward with initial velocity $$V_i. $$What is the time to reach maximum height?

Accepted Answer

$$t = \frac{V_i}{g}$$

Kinematics: Motion in One and Two Dimensions

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