18 A projectile is fired from level ground with initial speed V at an angle of 0 to the horizontal. Suppose that the greatest height of the projectile is h. a Prove that V² sin² 0 2gh. (V2 + 1Vh) (vz - 1) Vh b Prove that the particle is at height when t = or t = Vg Vg c If the ratio of the speed of the particle at height " to the speed at height h is V5:V2, find 0. 2

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Projectile Motion