Question 1

Refer to the first image (projectile motion diagram). At the highest point of the projectile's trajectory, which of the following statements is correct about the velocity components?

Accepted Answer

The vertical component of velocity is zero, and the horizontal component is at its maximum.

Question 2

In the first image, what is the correct formula for the range $$R of $$the projectile, assuming it lands at the same height from which it was launched?

Accepted Answer

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

Question 3

In the second image (two velocity-time graphs), which graph represents an object experiencing constant acceleration?

Accepted Answer

The graph on the right

Question 4

For the third image (velocity vs. time graph), what is the total displacement of the object from $$t=0 to$$ $$t=4 s$$?

Accepted Answer

$$3 m$$

Question 5

In the fourth image (A), which shows velocity and acceleration vs. time, what type of motion does this represent?

Accepted Answer

Uniformly decreasing velocity with increasing negative acceleration

Question 6

In the fifth image (B), what is the relationship between the velocity and acceleration graphs?

Accepted Answer

Velocity decreases linearly, acceleration increases linearly

Question 7

In the sixth image (C), what does the acceleration-time graph indicate about the motion?

Accepted Answer

The object moves with zero acceleration

Question 8

In the seventh image (D), what is the acceleration of the object after $$t=0$$?

Accepted Answer

Constant and negative

Question 9

Refer to the eighth image (projectile at points P, Q, R). At which point is the speed of the projectile the smallest?

Accepted Answer

At point Q (the top of the trajectory)

Question 10

In the ninth image (position vs. time graph), what can you say about the acceleration of the object?

Accepted Answer

The acceleration is increasing

Question 11

In the tenth image (velocity vs. time for Car X and Car Y), at what time do both cars have the same velocity?

Accepted Answer

$$t = 20 s$$

Question 12

In the eleventh image (velocity vectors at two times), what does the change in direction of the velocity vector indicate?

Accepted Answer

The object is accelerating

Question 13

In the twelfth image (velocity vs. time graph), what is the acceleration during the flat (horizontal) portion of the graph?

Accepted Answer

Zero

Question 14

In the thirteenth image (position vs. time graphs A, B, C), which graph represents an object with increasing acceleration?

Accepted Answer

Graph C

Question 15

In the fourteenth image (position vs. time graph D), what does the shape of the graph indicate about the object's motion?

Accepted Answer

The object is moving with decreasing velocity

Question 16

In the fifteenth image (projectile off a cliff), what is the time it takes for the ball to hit the ground? (Assume $$g = 10\ \mathrm{m/s^2$})$$

Accepted Answer

$$t = \sqrt{2} s$$ \approx 1.41$ s

Kinematics and Projectile Motion: Graphs and Concepts

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