1.

A ball is projected at t = 0with velocityv_0 at angle thetawith horizontal. It strikes a smooth wall at a distancefrom it and then falls at a distance d from the wall. Coefficient of restitution is 'e'then :

Answer»

Ball will return to ground at`t = (2v_0 sin THETA)/(G)`
`d = e(R - L) ("where" R "is" (v_0 sin 2THETA)/(g))`
maximum height during motion `= (v_0^2 sin^2 theta)/(2g)`
it will return to ground at `t lt (2v_0 sin theta)/(g)`

SOLUTION :`v_(_|_) = v_0 sin theta` does not suffer change due to collision.
So time of flight and maximum height which depend on vertical velocity does not change.
`v_(||) = v_0 cos theta` (before collision)
`v_(||("after collision")) = ev_0 cos theta`
Time taken to reach ground after collision
`t' = (2 v_0 sin theta)/(g) "":. "" d = ev_(0) cos theta XX t' = e(R - L)`


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