Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of v meters per second. Then v=√19.6h If an object hits the ground with a velocity of 30.7 meters per second, from what height was it dropped?
Carry your intermediate computations to at least four decimal places, and round your answer to the nearest tenth.
Given v = √19.6h, we can substitute v = 30.7 into the equation to solve for h:
30.7 = √19.6h
(30.7)^2 = 19.6h
942.49 = 19.6h
h = 942.49 / 19.6
h ≈ 48.11 meters
Therefore, the object was dropped from a height of approximately 48.1 meters.