A car accelerates from rest to a certain velocity in a certain time. Assume that there is no friction, and that the engine power is constant. Consider the following scenarios independently.(a)How long would it take to reach the same velocity if the engine had half the power?a. Half the time. b. Same time. c. Double the time. d. Four times the time.(b)How long would it take to reach double the velocity (also from rest)?a. Half the time. b. Same time. c. Double the time. d. Four times the time.(c)The car has a mass of 1130 kg and can accelerate from rest to 27 m/s in 6 seconds. Assuming no friction, what constant engine power would accomplish this?