As the driver steps on the gas pedal, a car of mass 1 140 kg accelerates from rest. during the first few seconds of motion, the car's acceleration increases with time according to the expression below, where t is in seconds and a is in m/s2. a = 1.14 t - 0.210 t2 + 0.240 t3 (a) what is the change in kinetic energy of the car during the interval from t = 0 to t = 2.60 s? j (b) what is the minimum average power output of the engine over this time interval? w (c) why is the value in part (b) described as the minimum value?

(a)

(b) P = 6309.6981 W

(c) Value in above part is described as minimum because there would have been power loss in the actual system to achieve this acceleration from the state of rest.

Explanation:

Given:

mass of car, m = 1140 kg

expression of acceleration,

where "t" is time in seconds

initial time,

final time,

(a)

We know,

Kinetic Energy

∴

(b)

We know,

Power

P = 6309.6981 W

(c)

Value in above part is described as minimum because there would have been power loss in the actual system to achieve this acceleration from the state of rest.

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