(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A self propelled vehicle of mass m travels in a straight line. The vehicle has an engine which provides constant power P so that the acceleration 'a' at an instant is given by a=P/mv where v is the speed of the vehicle and all frictional resistance is neglected. Determine expressions for:

a) the distance traveled,

b) the time elapsed

2. Relevant equations

a=P/mv

3. The attempt at a solution

I took the derivative of a so,

a=dv/dt then tried to get to v=ds/dt

I ended up with this

ds/dt=sqrt(2p/m + Vo^2)

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# Determine an expression for distance traveled and the time elapsed

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