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Horizontal and Vertical Components of Projectile Motion

A projectile ...

Question

A projectile fired from the top of a $40 m$ high cliff with an initial speed of $50 m / s$ at an unknown angle. Find its speed when it hits the ground. $(g = 10 {m / s}^{2})$

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Solution

by conservation of energy
$m g 40 + \frac{m 50^{2}}{2} = \frac{m v^{2}}{2}$
on solving we get
$v = 10 \sqrt{33}$ m/s

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