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Keshroom
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Homework Statement
Show that d(v^2)/dt = 2 . (d^2r/dt^2) . (dr/dt)
HINT: v^2 = ||dr/dt||^2 = dr/dt . dr/dt
Homework Equations
The Attempt at a Solution
I did it another method:
d(v^2)/dt = d/dv(v^2) . dv/dt --------------chain rule
= 2v . dv/dt
since v=dr/dt and dv/dt = d^2r/dt^2
therefore = 2 . (d^2r/dt^2) . (dr/dt)
Is there a more rigorous method to solving this, using the 'HINT' it gave me. I can't quite figure it out.
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