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Question

A stone is projected from a point O on horizontal ground with speed u ms-1 at an angle θ above the horizontal,
where sinθ = 3/5. The stone is at its highest point, when it has travelled a horizontal distance of 192 m.(a) Find
the value of u. After passing through its highest point the stone strikes a vertical wall at a point 4 m above the
ground. (b) Find the horizontal distance between O and the wall. At the instant, when the stone hits the wall,
the horizontal component of the stone’s velocity is halved in magnitude and reversed in direction. The vertical
component of the stone’s velocity does not change as a result of the stone hitting the wall. (c) Find the distance
from the wall of the point, where the stone reaches the ground. [Ans. u = 20 m/s, 𝒙 = 32 m, 𝒙
′= 3.2 m]

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