A criminal is escaping across a rooftop and runs off the roofhorizontally at a s

Question

A criminal is escaping across a rooftop and runs off the roofhorizontally at a speed of 5.9 m/s, hoping to land on the roof ofan adjacent building. Air resistance is negligible. The horizontaldistance between the two buildings is D, and the roof ofthe adjacent building is 2.0 m below the jumping-off point. Findthe maximum value for D.
A criminal is escaping across a rooftop and runs off the roofhorizontally at a speed of 5.9 m/s, hoping to land on the roof ofan adjacent building. Air resistance is negligible. The horizontaldistance between the two buildings is D, and the roof ofthe adjacent building is 2.0 m below the jumping-off point. Findthe maximum value for D.

Explanation / Answer

vertical acceleration=g=9.8 vertical displacement=2 m let time taken=t
s=u*t+(1/2)*g*t2 2=0+(1/2)*9.8*t2 t=0.64 s
initial horizontal velocity=5.9 horizontal acceleration=0 t=0.64
D=u*t+(1/2)*a*t2 D=5.9*0.64+0 D=3.79 m (ans)

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