A stone is thrown vertically upwards from a bridge over a river with a speed of \(8\) ms\(^{-1}\).
It hits the water with a speed of \(30\) ms\(^{-1}\).
Find
the height of the bridge over the water,
the time taken for the stone to hit the water,
the total distance the stone has travelled on its journey.
Neglect air resistance and use constant gravitational acceleration \(g=9.81\text{ m/s}^2\).
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