A ball is dropped off the roof of a 50 meter tall building
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A ball is dropped off the roof of a 50 meter tall building

1. A ball is dropped off the roof of a 50 meter tall building

a. How long does it take to hit the ground?

b. What is the velocity at the moment just before it hits the ground?

2. If a person steps off a high diving board and falls for 1.12 seconds before he hits the water, how high was the dive?

3. A ball is launched upward at a speed of 40 m/s

a. Calculate the maximum height that the ball will reach

b. Calculate the total time of flight for the ball from the moment it is launched, until the moment it hits the ground again

4. If you dropped a ball off the roof of a building, how long would it take to reach a speed of 30 m/s?

5. A projectile is launched horizontally off a 65 meter high cliff with a speed of 25 m/s.

a. Calculate the time it takes to hit the ground

b. Calculate horizontal range (distance) of the projectile

c. What is the speed of the projectile at the moment it hits the ground?

6. If a projectile is launched horizontally off a 100 meter high cliff, how fast does it need to be launched in order to hit a target that is on the ground 120 meters away?

7. A horizontal projectile launched at 16.5 m/s lands in a cup 12 meters away from the base of the ledge. Calculate the height of the ledge.

Hint
Engineering5. Any object that is initially fired at a velocity that is entirely horizontal is referred to as a horizontally launched projectile. Therefore, if something is launched horizontally, say in this straight horizontal direction, without any initial vertical component, it was launched horizontally....

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