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The distance traveled by an object can be modeled by the equation d = ut + 0.5at2 where d = distance, u = initial velocity, t = time, and a = acceleration. Solve this formula for a. Show all steps in your work.
\[ d = ut + 0.5at^2\] For you to find 'a', first thing to consider is have 'a' in one side of the equation and all other variables on the other side --------------------------- Transpose 'ut' to the left side of the equation \[d - ut = 0.5at^2\] -------------------------- For 'a' to be left alone on the right side of the equation, divide the whole equation by 0.5t^2 Dividing you'll have: \[\frac{ d-ut }{ 0.5t^2 } = a\] \[a = \frac{d-ut}{0.5t^2}\]
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