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Question: The speed v reached by a car of mass m, driven with constant power P, is given by –...

The speed v reached by a car of mass m, driven with constant power P, is given by –

A

v =

B

v =

C

v =

D

v =

Answer

v =

Explanation

Solution

P = Fv

or P = v

or 0xPmdx\int _ { 0 } ^ { \mathrm { x } } \frac { \mathrm { P } } { \mathrm { m } } \mathrm { dx }

v33\frac { \mathrm { v } ^ { 3 } } { 3 } = or v = (3Pxm)1/3\left( \frac { 3 P x } { m } \right) ^ { 1 / 3 }