Regie is playing with a ball on top of a building but the ball fell and hits the ground after 5.7 seconds. Calculate the final velocity of the ball just before it hits the ground, and how high is the building?

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Answer 1 · 2018-07-12T04:38:40

#55.87m#/#s# is the final velocity.
#159.201m# is the height of the building.

We assume that #g=9.8m#/#s^2#.

First, #V_f = V_i + at# so final velocity is:
#9.8 * 5.7 = 55.87m#/#s#

Next, #d = V_i t + 1/2 at^2#
So #d=1/2 9.8 * 5.7^2#

This gives 159.201m as the answer.