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A ball is thrown vertically upwards, from ground level, with an initial speed vo. Assume that air resistance is negligible so that the acceleration of the ball is due solely to gravity.

a) Derive an algebraic formula for the time t that it takes for the ball to reach its greatest height (as usual, use the symbol g for the magnitude of the acceleration of gravity).

b) Derive a formula for the maximum height h of the ball.

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