If a car's velocity changes from 60m/s to 30m/s over a period of 15 seconds, what is the car's average acceleration? underline ( )m/s^2 Enter the answer

To find the car's average acceleration, we can use the formula:<br /><br />\[ \text{Average acceleration} = \frac{\text{Change in velocity}}{\text{Time taken}} \]<br /><br />Given:<br />- Initial velocity (\(v_i\)) = 60 m/s<br />- Final velocity (\(v_f\)) = 30 m/s<br />- Time taken (\(t\)) = 15 seconds<br /><br />First, calculate the change in velocity:<br /><br />\[ \text{Change in velocity} = v_f - v_i = 30 \, \text{m/s} - 60 \, \text{m/s} = -30 \, \text{m/s} \]<br /><br />Now, plug the values into the formula:<br /><br />\[ \text{Average acceleration} = \frac{-30 \, \text{m/s}}{15 \, \text{s}} = -2 \, \text{m/s}^2 \]<br /><br />So, the car's average acceleration is \(-2 \, \text{m/s}^2\).