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Acceleration Due to Gravity

A ball is thr...

Question

A ball is thrown straight upward with a speed V from a point h metres above the ground the time taken for the ball to strike the ground is

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Solution

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$h = - v t + \frac{1}{2} g t^{2} \frac{1}{2} g t^{2} - v t - h = 0 g t^{2} - 2 v t - 2 h = 0 T h i s i s q u a d r a t i c e q u a t i o n o f t h e a x^{2} + b x + c = 0 t h e r e f o r e t = \frac{2 v \pm \sqrt{4 v^{2} + 8 g h}}{2 g} t = \frac{v \pm \sqrt{v^{2} + 2 g h}}{g} R e g a r d s$

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