What is the derivative of the kinetic energy function?

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Answer 1 · 2018-07-09T08:14:24

It gives us the momentum equation respect to velocity...

The function or equation for kinetic energy is:

#bb(KE)=1/2mv^2#

Taking the derivative respect to velocity #(v)# we get:

#d/(dv)(1/2mv^2)#

Take the constants out to get:

#=1/2m*d/(dv)(v^2)#

Now use the power rule, which states that #d/dx(x^n)=nx^(n-1)# to get:

#=1/2m*2v#

Simplify to get:

#=mv#

If you learn physics, you should clearly see that this is the equation for momentum, and states that:

#p=mv#