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To find the acceleration of the ball, we can use the formula for acceleration, which is given by:<br /><br />\[ a = \frac{{\Delta v}}{{\Delta t}} \]<br /><br />where \( a \) is the acceleration, \( \Delta v \) is the change in velocity, and \( \Delta t \) is the change in time.<br /><br />Given that the initial velocity of the ball is 3 m/s and the final velocity is 37 m/s, we can calculate the change in velocity as:<br /><br />\[ \Delta v = v_f - v_i = 37 \, \text{m/s} - 3 \, \text{m/s} = 34 \, \text{m/s} \]<br /><br />The change in time is given as 2 seconds.<br /><br />Substituting these values into the formula, we get:<br /><br />\[ a = \frac{{34 \, \text{m/s}}}{{2 \, \text{s}}} = 17 \, \text{m/s}^2 \]<br /><br />Therefore, the acceleration of the ball is 17 m/s².