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**1. Homework Statement**

The speed, v, of an object is given by the equation v=At^3 - Bt, where t refers to time. What are the dimensions of A and B?

**2. Homework Equations**

None, but I know that to find dimensions, we look at the units that make up the variable, like the area of a room is [L^2]. I understand the basic concept, but have trouble applying it.

**3. The Attempt at a Solution**

v = At^3 - Bt.

I would think that since velocity is a measure of distance per time, we should get t to divide the distance. Could it be then that A is [L/T^4] and B= [L/T^2]?

I can only figure out this way to get T as the denominator in a way that could get A and B added up to get [L/T] for the answer...

Thanks for your help!