Answer:
cliff height = 10.55 m
Explanation:
Remarks
- This is one of those questions that defies belief. The final vertical velocity is the same as if you just dropped the rock, which is amazing.
- Another amazing fact is that the horizontal speed has no acceleration.
- And amazing fact number three is the the vertical initial speed is 0.
- And finally, the time taken to go horizontally = time to go vertically.
Solution
Time
So the time taken is d = r * t
Remember, this formula can only be used when there is no acceleration.
d = 22 meters
r = 15 m/s
t = ?
t = d / r
t = 22 / 15
t = 1.467
Height of the Cliff
vi = 0 (vertially)
a = 9.8 m/s^2
t = 1.467 seconds The time horizontally and vertically is the same.
d = ?
Formula
d = vi*t + 1/2 a t^2
Solution
d = 0 + 1/2 * 9.8 * 1.467^2
d = 10.55 meters.
