PDA

View Full Version : Differentiation



woollymoof
06-21-2003, 03:41 AM
I haven't done maths for a really, really long time and my Mathematica isn't working, so, can someone differentiate 0.5 m v^2 with respect to time for me please.

Thanks

woollymoof
06-21-2003, 03:41 AM
I haven't done maths for a really, really long time and my Mathematica isn't working, so, can someone differentiate 0.5 m v^2 with respect to time for me please.

Thanks

Disco
06-21-2003, 03:59 AM
What's m and v, and are either of these constants??

Daves
06-21-2003, 09:25 AM
I'll answer for him or her:

m is mass and v is velocity, and 0.5*m*v^2 is the expression for kinetic energy.

The derivative of 0.5*m*v^2 = m*v + 0.5*v^2

Daves
06-21-2003, 03:37 PM
The resulting value should correspond with power.

Power=work/time

An example of the units could be (kg*m^2)/(s^3) or (ft.*lbs.)/(s) or horsepower.

woollymoof
06-22-2003, 04:55 PM
thanks dave

Daves
06-22-2003, 10:35 PM
No problem -- it was fun. My thanks to God and my dynamics professor (who was a god for 1.5 hours every other day and who taught me real implicit differentiation), Dr. Roger Gonzales.