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Which of the following equations represents an appropriate re-arrangement of the equation for uniformly accelerated motion Vf = Vi + at?

Question

Which of the following equations represents an appropriate re-arrangement of the equation for uniformly accelerated motion

Vf=Vi+at V_f = V_i + at ?

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Solution

The equation for uniformly accelerated motion is given as Vf = Vi + at.

This equation can be rearranged in several ways depending on what variable you are trying to isolate. Here are a few examples:

  1. If you want to isolate the initial velocity (Vi), you can subtract at from both sides of the equation to get Vi = Vf - at.

  2. If you want to isolate the acceleration (a), you can subtract Vi from both sides and then divide by t to get a = (Vf - Vi) / t.

  3. If you want to isolate the time (t), you can subtract Vi from both sides and then divide by a to get t = (Vf - Vi) / a.

So, the appropriate re-arrangement of the equation depends on which variable you are trying to isolate.

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