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