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A coin is dropped from the top of a building with a height of 12 m?
A coin is dropped from the top of a building with a height of 12 m and travels in a straight line until it hits the ground. Find the time it takes for the coin to reach the ground and the speed of impact.
1 Answer
- 4 months agoFavorite Answer
Assume:
* Constant acceleration due to gravity of 9.81 m/s^2
* Zero initial velocity (it was dropped, not thrown)
* No wind or air resistance (or any other force other than gravity)
We have constant acceleration, so we can use our constant-acceleration equations.
(Or if you like calculus, you can instead say we obtain this by integrating the acceleration twice, take your pick)
∆y = 1/2 at^2 + v0*t
-12 m = 1/2 (-9.81 m/s^2) t^2 + 0
t = sqrt(12 m * 2 / (9.81 m/s^2)) = 1.564 seconds
Hope this helps!
