Help me solve the 3 questions? A criminal is escaping across a rooftop and runs

Question

Help me solve the 3 questions?

A criminal is escaping across a rooftop and runs off the root horizontally at a speed of 5.3 m/s, hoping to land on the roof of an adjacent building. Air resistance is negligible. The horizontal distance between the two buildings is D, and the roof of the adjacent building is 2 .0 m below the jumping-off point. Find the maximum value of D. A football is kicked at an angle of 37.0degree with a velocity of 20.0 m/s. Calculate the maximum height it reaches A movie stunt driver on a motorcycle speeds horizontally off a 50.0-m high cliff. How fast must the motorcycle leave the cliff top to land on level ground below, 90.0 m from the base of the cliff where the cameras are? Ignore air resistance

Explanation / Answer

1 . h = 2 m

using h = ut + at^2/2

2 = 0 + 9.8t^2/2

t =0.64 sec

D =ut = 5.3 x 0.64 =3.39 m

2. max. heighjt where vertical component of veloicity is zero.

h = 20sin37 )^2 /2g = 7.39 m

3.

using h = ut + at^2/2

50 = 0 + 9.8t^2/2

t = 3.19 sec

D =ut

90 = u x 3.19

u = 28.17 m/s

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