1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Velocity over time with constant power

  1. Nov 2, 2014 #1
    For a car with constant power, how will its velocity change over time?

    Since power (P) is the derivative of the kinetic energy (Ek), I've found that the equation for the velocity as a function of time is √(2*P*t/m). Is this correct? Would the graph then be a root graph?
     
  2. jcsd
  3. Nov 2, 2014 #2
    so P = F*v, which means v = P/F. and F = mdv/dt... therefore vdv=Pdt/m which leads to [itex]v=\sqrt{(2Pt/m)}[/itex], so yeah I think you've got it right.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted