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 | = |
| = |
|
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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