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polet [3.4K]
3 years ago
13

how do you isolate t (time) in this equation? the question is asking me to derive an equation for time to hit the ground for a d

ropped object in terms of height of the drop, gravity, and initial velocity and that’s what i have so far.

Physics
1 answer:
expeople1 [14]3 years ago
8 0

Fine, so we have the equation

S = So + Vo.t + at²/2

We have the final height = 0 and since its dropped, Vo = 0, our a will be the gravity, negative since its falling

0 = So + 0.t - gt²/2

0 = So - gt²/2

Since So is our h, lets change the letter

0 = h - gt²/2

gt²/2 = h

gt² = 2h

t² = 2h/g

t = \sqrt{\frac{2h}{g}}

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