The jet plane starts from rest at $s = 0$ and is subjected to the acceleration shown. Determine the speed of the plane when it has travelled $60 m$ .

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$76.47 m / s$

$26.87 m / s$

$56.47 m / s$

$46.47 m / s$

answer is D.

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Detailed Solution

From the graph,
$a = 22.5 - \frac{22.5}{150} \cdot s$
or $\int_{0}^{v} v \cdot d v = \int_{0}^{60} (22.5 - \frac{22.5}{150} \times s) d s$
$∴ \frac{v^{2}}{2} = 22.5 \times 60 - \frac{225}{150} \times \frac{(60)^{2}}{2}$

$∴ v = 46.47 m / s$

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