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.
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