QuestionAugust 14, 2025

6.) A dragster is travelling east when the parachute opens and slows the dragster for 4.5 seconds at a rate of 10m/s^2 west. What was the dragster's change in velocity due to the parachute?

6.) A dragster is travelling east when the parachute opens and slows the dragster for 4.5 seconds at a rate of 10m/s^2 west. What was the dragster's change in velocity due to the parachute?
6.) A dragster is travelling east when the parachute opens and slows the dragster for 4.5 seconds at a rate of 10m/s^2 west. What was the dragster's change in velocity due to the parachute?

Solution
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Answer

The dragster's change in velocity due to the parachute is -45 \, \text{m/s} (west). Explanation 1. Identify the acceleration and time The dragster experiences an acceleration of -10 \, \text{m/s}^2 (west) for 4.5 seconds. 2. Calculate change in velocity Use the formula \Delta v = a \cdot t, where a = -10 \, \text{m/s}^2 and t = 4.5 \, \text{s}. \Delta v = (-10) \times 4.5 = -45 \, \text{m/s}.

Explanation

1. Identify the acceleration and time<br /> The dragster experiences an acceleration of $-10 \, \text{m/s}^2$ (west) for $4.5$ seconds.<br /><br />2. Calculate change in velocity<br /> Use the formula $\Delta v = a \cdot t$, where $a = -10 \, \text{m/s}^2$ and $t = 4.5 \, \text{s}$.<br /> $\Delta v = (-10) \times 4.5 = -45 \, \text{m/s}$.
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