A car of mass \( m \) is accelerating on a level smooth road under the action of a single force ...

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A car of mass \( m \) is accelerating on a level smooth road under the action of a single force \( F \). The power delivered to the car is constant and equal to \( P \). If the velocity of the car at an instant is \( v \), then after travelling how much distance it becomes double?
(a) \( \frac{7 m v^{3}}{3 P} \)
(b) \( \frac{4 m v^{3}}{3 P} \)
(c) \( \frac{m v^{3}}{P} \)
(d) \( \frac{18 m v^{3}}{7 P} \)
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