# Related Rates: Kinetic Energy

• October 11th 2011, 04:46 PM
softstyll
Related Rates: Kinetic Energy
The kinetic energy of an object is K=v^2 when its mass is 2 kg, where v is the speed(in m/s). Suppose such an object is travelling at 4 m/s and is experiencing an acceleration of 3 m/s/s. Determine the rate of change in its kinetic energy.
• October 11th 2011, 05:15 PM
skeeter
Re: Related Rates: Kinetic Energy
Quote:

Originally Posted by softstyll
The kinetic energy of an object is K=v^2 when its mass is 2 kg, where v is the speed(in m/s). Suppose such an object is travelling at 4 m/s and is experiencing an acceleration of 3 m/s/s. Determine the rate of change in its kinetic energy.

$K = \frac{1}{2}mv^2$
$\frac{d}{dt}\left[K = \frac{1}{2}mv^2\right]$
$\frac{dK}{dt} = mv \cdot \frac{dv}{dt}$