Maximum Height - Physics

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Maximum Height

The maximum height, ymax, can be found from: vy 2 = vy(0)2 + 2 ay (y - y(0)).

At maximum height, vy = 0, while y(0) = 0. Solving for ymax gives:

ymax =
- vy(0)2
2 ay
=
vo2sin2θ
2 g

Alternatively, use:  vy(t) = vy(0) - g t.   At the maximum: tmax = vy(0)/g

Substitute into y(t) = vy(0) t - ½ g t2 to give ymax = vy(0)2/ 2g.

The maximum height is determined by: (i) the initial velocity in the y-direction, and (ii) the acceleration due to gravity. Motion along x is irrelevant!

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