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A ball is thrown horizontally from a cli...

A ball is thrown horizontally from a cliff such that it strikes the ground after `5s`.The line of sight makes an angle `37^(@)` with the horizontal.The initial velocity of projection in `ms^(-1)` is

Text Solution

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The correct Answer is:
`100//3 m//s`
given that `u_(x) = u cos 37^(@), u_(y) = u sin 37^(@) m//s`
`a_(x) = g sin 37^(@), a_(y) =- g cos 37^(@) m//s^(2)`
taking motion along y-axis
`y = y_(0) = u_(y)t +a_(y)t^(2)`
`y = 0 +u sin 37^(@) xx 5 +(1)/(2) (-g cos 37^(@)) xx 5^(2)`

`(3)/(5) u = (1)/(2) xx 10 xx (4)/(5) xx 5^(2) rArr u = (100)/(3)m//s`
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