The vectors and projectile motion game

Lots of fun!Win valuable prizes!

1. A wombat leaps with an initial velocity of 8.3 m/s at an angle of 21° with the horizontal.

a. What is the maximum height the wombat reaches?

b. How long is the wombat in the air?c. What is the horizontal distance of the leap?

2. A baseball is hit upward and travels along a parabolic arc before it strikes the ground. Which one of the following statements is necessarily true?

A. The acceleration of the ball decreases as the ball moves upward.

B. The velocity of the ball is zero when the ball is at the highest point in the arc.

C. The acceleration of the ball is 0 m/s2 when the ball is at the highest point in the arc.

D. The x-component of the velocity of the ball is the same throughout the ball's flight.

E. The velocity of the ball is a maximum when the ball is at the highest point in the arc.

3. A bicyclist is riding at a constant speed along a straight-line path. The rider throws a ball straight up to a height a few meters above her head. Ignoring air resistance, where will the ball land?

A. behind the rider B. in front of the rider C. in the same hand that threw the ball D. in the opposite hand to the one that threw it E. This cannot be determined without knowing the

speed of the rider and the maximum height of the ball.

4. A football is kicked at an angle θ with respect to the horizontal. Which one of the following statements best describes the acceleration of the football during this event if air resistance is neglected?

A. The acceleration is 0 m/s2 at all times. B. The acceleration is 9.8 m/s2 at all times. C. The acceleration is zero when the football has reached

the highest point in its trajectory. D. The acceleration is positive as the football rises, and its

is negative as the football falls. E. The acceleration starts at 9.8 m/s2 and drops to some

constant lower value as the ball approaches the ground.

5. In baseball, the pitcher’s mound is raised to compensate for the fact that the ball falls downward as it travels from the pitcher to the batter. If baseball were played on the moon, would the pitcher’s mound have to be higher than, lower than, or the same height as the pitcher’s mound on Earth?

6. A rock is kicked horizontally at a speed of 10 m/s from the edge of a cliff. The rock strikes the ground 55 m from the foot of the cliff of height H as suggested in the figure. Neglect air resistance.

a. How long is the rock in the air? b. What is the approximate value of H, the height of

the cliff?

7. After walking 11 km due north from camp, a hiker then walks 21 km due east. Determine the total displacement from the starting point. Give magnitude and direction.

Bonus question

A hummingbird flies at 17 m/s at an angle of 21° to the horizontal, as shown above. What are the x and y components of its velocity?

21°

17 m/s

Bonus questionA soccer ball is kicked with an initial speed of

18.6 m/s reaches a maximum height of 14.9 m. At what angle was the ball kicked?