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A particle of mass m is projected at an ...

A particle of mass `m` is projected at an angle `alpha` to the horizontal with an initial velocity `u`. The work done by gravity during the time it reaches its highest point is

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`overline F_(y) = -mg hat j , vec r_(y) = vec H_(max) = ((u^(2) sin^(2) alpha)/(2g)) hat j`
`W = vec F_(y).vec r_(y) (-mg hat j).((u^(2) sin^(2) alpha)/(2g)) hat j`
`W = -(1)/(2) mu^(2) sin^(2) (alpha)`.
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