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Discuss the motion of a body when projec...

Discuss the motion of a body when projected horizontally from a height .

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`U_(x) = v_(0) , u_(y) =0`
` a_(x) =0 , a_(y) = -g`
(a) `S_(y) = U_(y) t + 1/2 a_(y)t^(2)`
` -h = 0t + 1/2 (-g) t^(2)`
` t = (sqrt(2h)/h)`
(b) Range
` S_(x) = u_(x) t + 1/2 a_(x) t^(2)`
` R = v_(0) t`
` R = v_(0) sqrt((2h)/g)`
(c) Equation of trajectory
` x= v_(0)t, y =1/2 gt^(2)`
` y = (gx^(2))/(2 v_(0)^(2))`
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