Correct Answer: Option A

Explanation

To calculate the power developed in the engine, we need to determine the work done and the time taken.

1. Calculate the final kinetic energy (KE) of the car:
   \(KE = \frac{1}{2}mv^2 \)
   where \( m = 800 \text{ kg} \) and \( v = 25 \text{ m/s} \).

   \( KE = \frac{1}{2} \times 800 \, \text{kg} \times (25 \, \text{m/s})^2 \)
   \( KE = 0.5 \times 800 \times 625 = 250000 \text{ J} \, (\text{joules})\)

2. Calculate the power (P)  developed in the engine using the formula:
   \(P = \frac{W}{t} \)
   where \( W \) is the work done (in this case, equal to the kinetic energy calculated) and \( t \) is the time taken.

   \(P = \frac{250000 \, \text{J}}{20 \, \text{s}} = 12500 \text{ W} \, (\text{watts}) \)

Thus, the power developed in the engine is 12500 watts (or 12.5 kW).

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