Answer:
48.5 hp
Explanation:
[tex]m[/tex] = mass of the car = 1200 kg
[tex]v_{o}[/tex] = initial speed of the car = 25 km/hr = 6.94 m/s
[tex]v}[/tex] = final speed of the car = 100 km/hr = 27.78 m/s
[tex]t[/tex] = time interval = 12 s
Power output of the engine is given as
[tex]P = (0.5)\left ( \frac{m}{t} \right ) (v^{2} - v_{o}^{2})[/tex]
[tex]P = (0.5)\left ( \frac{1200}{12} \right ) (27.78^{2} - 6.94^{2})[/tex]
[tex]P = 36178.24[/tex] W
we know that , 1 hp = 746 W
[tex]P = \frac{36178.24}{746}[/tex] hp
[tex]P = 48.5[/tex] hp