Find the time th it takes the projectile to reach its maximum height h. express th in terms of v0,?, and g (the magnitude of the acceleration due to gravity).

Question

Physics

Tiara Atkins

5 May, 20:08

Find the time th it takes the projectile to reach its maximum height h. express th in terms of v0,?, and g (the magnitude of the acceleration due to gravity).

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Answers (1)

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Paola Holt · Answer 1

The derivative of

h (t) = (-g/2) t² + v0·t + h0

is

h' (t) = - gt + v0

This is zero at the maximum height, so the time can be found as

0 = - gt + v0

gt = v0

t = v0/g