A ball released from rest collide elastically to a fixed inclined plane of inclination α = 30° after falling through a height h = 3m. Find the distance between the points along the incline where it strike the incline.
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(12)
Ball again collide on the inclined plane when y = 0, as shown in the figure.
y = u y t + 
⇒ 0 = 
t
t = 0 & t = 
cos α = 
= 2 × 
Now x-co-ordinet of the ball at the time of striking
X = 
sin α t + 
g sin α t 2 ⇒ X = 
sin α . 
⇒ x = 2h sin α . 2 + 4 h sin α = 8h sin α (along the incline plane)
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