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 cars velocity as a function of time, in terms of P , t , and m

Verified Answer :

Because P = W รท t, and W = Ft, you can substitute (W) for (Ft). Then substitute (F) for (ma). This will leave you with P = (mad)/t. Since you need velocity, youd want to solve for a so you can use v = at. a = (Pt)/(md) therefore, substituting a in v = at, v = (Ptt)/(md)