Question #160096

A stone is thrown from the top of a building TT toward another building 50m away. The initial velocity of the stone is 20m/s, at 400 above horizontal. How far above or below its original level will the ball strike the opposite wall?


1
Expert's answer
2021-01-31T03:41:59-0500

vx0=20cos40°=15.32(m/s)v_{x0}=20\cdot\cos40°=15.32(m/s)


vy0=20sin40°=12.86(m/s)v_{y0}=20\cdot\sin40°=12.86(m/s)


The stone flight time


t=50/15.32=3.264(s)t=50/15.32=3.264(s)


y=vy0tgt2/2=12.863.2649.83.2642/2=10.23(m)y=v_{y0}t-gt^2/2=12.86\cdot 3.264-9.8\cdot3.264^2/2=-10.23(m)


10.23 (m)10.23\ (m) below its original level. Answer

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