Question

A worker kicks a flat object lying on a roof. The object slides up the incline 10.0 m to the apex of the roof, and flies off the roof as a projectile. What maximum height (in m) does the object attain? Assume air resistance is negligible, v; = 15.0 m/s, uy = 0.430, and that the roof makes an angle of a = 44.5° with the horizontal. (Assume the worker is standing at y = 0 when the object is kicked.) m

Answer 1

net acceleration of the object

a = g ( sin x + u cos x) = 9.8 ( sin 44.5 + 0.43 cos 44.5)

a = 9.8745 m/s^2

velocity just before leaving the roof surface

v^2 = 15^2 - 2* 9.8745* 10

v = 27.51 m/s

max height reached by projectile

H = 10 sin 44.5 + ( v sin 44.5)^2/ ( 2g

H = 25.977 m

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