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).