Consider the kinematic equation:

$\overline{){{{\mathbf{v}}}_{{\mathbf{f}}}}^{{\mathbf{2}}}{\mathbf{=}}{\mathbf{}}{{{\mathbf{v}}}_{{\mathbf{0}}}}^{{\mathbf{2}}}{\mathbf{}}{\mathbf{+}}{\mathbf{2}}{\mathbf{a}}{\mathbf{\u2206}}{\mathbf{x}}}$

Solving for a:

$\mathit{a}\mathbf{=}\frac{{{\mathbf{v}}_{\mathbf{f}}}^{\mathbf{2}}\mathbf{-}{{\mathbf{v}}_{\mathbf{0}}}^{\mathbf{2}}}{\mathbf{2}\mathbf{\u2206}\mathbf{x}}$

A baseball pitcher throws a baseball with a speed of 43 m/s. Estimate the average acceleration of the ball during the throwing motion. In throwing the baseball, the pitcher accelerates it through a displacement of about 3.5m , from behind the body to the point where it is released (Fig. 2-37).

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