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.

1 answer

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.