A car drives along straight level frictionless road by an engine delivering constant power. Then velocity is directly proportional to? (a) t (b) 1/√t (c) √t (d) None of these

Power, P = F.v

P = Constant

P = mav

P = m(dv/dt)v

P dt = mvdv

On integrating both sides, we get,

∫P dt = ∫mv dv

Pt = mv2/2

v ∝ √t

Therefore, the correct option is (c)

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