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## Homework Statement

A car of mass m has an engine which can deliver power P. What is the minimum time in which the car can be accelerated from rest to a speed v?

**2. The attempt at a solution**

P = W/t

(W is work done, t is time)

F = ma

So,

P = Fs/t

(F is force, s is distance)

P = mas/t

Making t as the subject,

t = mas/P

t = mv

^{2}/P

Is there any thing wrong with my final equation?