A car of mass m accelerates from rest along a level straight track, not at const

Question

A car of mass m accelerates from rest along a level straight track, not at constant acceleration but with constant engine power, P. Assume that air resistance is negligible.
(a) Find the car's velocity as a function of time. (Use any variable or symbol stated above along with the following as necessary: t)
-v = { }



(b) A second car starts from rest alongside the first car on the same track, but maintains a constant acceleration. Which car takes the initial lead?

-first car/ second car

Does the other car overtake it?

-Yes/ No

If yes, write a formula for the distance from the starting point at which this happens. (Use any variable or symbol stated above along with the following as necessary: a for acceleration of the second car, and t. If not, enter NONE.)
-x0 =



(c) You are in a drag race, on a straight level track, with an opponent whose car maintains a constant acceleration of 12.2 m/s2. Both cars have identical masses of 1092 kg. The cars start together from rest. Air resistance is assumed to be negligible. Calculate the minimum power your engine needs for you to win the race, assuming the power output is constant and the distance to the finish line is 0.240 mi.

Explanation / Answer

yh

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