| variable | x | y(up) | y(down) |
| d | |||
| v(i) | |||
| v(f) | |||
| a | |||
| t |
1. A rock is thrown with an initial vertical velocity component of 30 m/s and an initial horizontal velocity component of 40 m/s.
a. What will the distance to which the rock rises?
b. Assuming the launch and landing heights are the same, how long will the rock be in the air?
c. Assuming the launch and landing heights are the same, how far will the rock land from where it was thrown?
SHOW ALL WORK and FORMULAS
| variable | x | y(up) | y(down) |
| d | |||
| v(i) | |||
| v(f) | |||
| a | |||
| t |
2. A ball rolls off of a diving board that is 3 meters above the water. It's horizontal speed is 1 m/s.
a. Determine the x-distance that the ball will land from the edge of the board.
b. How long will it take for the ball to hit the water?
SHOW ALL WORK and FORMULAS
| variable | x | y(up) | y(down) |
| d | |||
| v(i) | |||
| v(f) | |||
| a | |||
| t |
3. A football kicker aims the ball down the field, and it rises to a height of 10 meters before dropping in a perfect parabola.
a. How long will it remain in the air?
b. If it's x-velocity is 5 m/s, how far will it travel?
c. Challenge Problem: The minimum height to land over the the goal post is 3 m. What is the maximum distance, in meters, that the field goal kicker can be away from the post?
SHOW ALL WORK and FORMULAS
| variable | x | y(up) | y(down) |
| d | |||
| v(i) | |||
| v(f) | |||
| a | |||
| t |
4. A ball drops from the top of its parabola downward, and hits the ground with a v(f) of 14 m/s.
a. How high did the ball rise?
b. What is the total time the ball is in the air?
c. If the ball traveled 6 m horizontally, what is the speed in the x-direction?
d. Can you say v(i) up = v(f) down are equal in the y-direction if this is a perfect parabola? Why or why not?
TURN IN ALL WORK BEFORE YOU LEAVE. THIS MUST BE DONE INDIVIDUALLY.
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