Need help on how to work these problems out to solve for the variables
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Need help on how to work these problems out to solve for the variables

[From: ] [author: ] [Date: 11-08-27] [Hit: ]
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1) v ̅= (x-x_0)/t Solve for t
2) x=1/2 at^2 Solve for t
3) x=x_0+v_0 t+1/2 at^2 Solve for t
the _ are subscripts and ^ exponents

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Edit: OK, I'll add explanation and more steps:

1) v = (x - x_0)/t => multiply both sides by t
vt = (x - x_0) => divide both sides by v
t = (x - x_0)/v => answer

2) x = 1/2 at^2 => isolate t^2 , i.e. divide both sides by a/2
t^2 = x / a/2 = 2x/a => take square root of both sides:
t = √(2x/a) => answer
Note: reject -√(2x/a) since negative time is meaningless here.

3) x=x_0+v_0 t+1/2 at^2 Solve for t => use quadratic equation:
t = [-v_0 + √(2 a x-2 a x_0+v_0^2)]/a => answer
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