(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

In the equation below, x and x0 are distances in meters, t is the time in seconds, and v0 is a speed in meters per second. Find the units of a.

x-x0 = v0(t) + (1/2)a(t^2)

Find the dimensions (or units) of v0 that will make this equation dimensionally correct.

3. The attempt at a solution

So I found that a is acceleration, or m/s^2, but the last question confuses me- possibly I don't understand the wording? When I went through the equation and subbed in the units, I got:

m-m = (m/s)(s) + (1/2)(m/s^2)(s^2) which comes down to

m= m + (1/2)m = (some number)m

So what exactly is the problem with the units or dimensions or whatnot? Or is the point for us to realize there isn't one? Or perhaps I found a's units wrong.

Thanks in advance for any help.

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# Homework Help: Dimensional analysis of this equation

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