A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of \(3.0 \mathrm{~m} / \mathrm{s}^{2}\) for \(8.0 \mathrm{~s}\). How far does the boat travel during this time?
THINKING IT THROUGH. We have only one equation for distance (Equation 2.3, \(x=x_{0}+\bar{v} t\) ), but this equation cannot be used directly. The average velocity must first be found, so multiple equations and steps are involved.

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x=x+vt (2.3)