Final answer:
The average power required for the car to accelerate from 0 to 10.5 m/s in 7.25 seconds is 1003.64 watts.
Step-by-step explanation:
To calculate the average power required for the car to accelerate from 0 to 10.5 m/s in 7.25 seconds, we first need to find the total work done by the car. The work done is equal to the change in kinetic energy of the car, which can be calculated using the equation:
Work = Change in Kinetic Energy = (1/2) * mass * (final velocity^2 - initial velocity^2)
Once we have the work done, the average power can be calculated by dividing the work done by the time taken:
Average Power = Work / Time
Substituting the given values:
Mass = 1229 kg, Final velocity = 10.5 m/s, Initial velocity = 0 m/s, Time = 7.25 s
And using the equation for work:
Work = (1/2) * 1229 kg * (10.5 m/s)^2
Now we can calculate the average power:
Average Power = (1/2) * 1229 kg * (10.5 m/s)^2 / 7.25 s = 1003.64 W
Therefore, the average power required for the car to accelerate from 0 to 10.5 m/s in 7.25 seconds is 1003.64 watts.