A $2\mathrm{.}00$ kg remote controlled car is equipped with a single electric motor that provides the car with the power necessary for it to accelerate.

The maximum power rating of the electric motor is $163$ Watts. Using the motor at this maximum rated power, how long will it take to accelerate a $2\mathrm{.}00$ kg car from $5\mathrm{.}00$ m$/$s to $14\mathrm{.}6$ m$/$s if we neglect all frictional losses?

Calculate the average acceleration of the car during this period.

Calculate how far the car moves during this period. Start from the point where the car was moving at the initial velocity of $5\mathrm{.}0$ m$/$s and end at the point where the car has achieved the final velocity of $14\mathrm{.}6$ m$/$s$.$