JAMB - Physics (1995 - No. 7)

A vehicle of mass m is driven by an engine of power P from rest. Find the minimum time it will take to acquire a speed
\(\frac{mv^2}{2p}\)
\(\frac{mv^2}{p}\)
\(\frac{mv}{p}\)
\(\frac{mv}{2p}\)

Explanation

To find the minimum time \( t \) it takes for a vehicle of mass \( m \) to acquire a speed \( v \) when driven by an engine of power \( P \), we use the work-energy principle. 

The relationship is given by:
\(t = \frac{m v^2}{2P}\)

Thus, the minimum time \( t \) to acquire speed \( v \) is:
\(t = \frac{m v^2}{2P}\).

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