HSC Stuff > HSC Mathematics Extension 1
SHM Maximum Velocity
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frog1944:
Hi,
For simple harmonic motion, if the question asks about the maximum velocity, can I say that as it is a trig function its maximum value for the trig part is 1, and then multiply it by the amplitude (if that makes sense)? Or do I have to say it occurs when the derivate of velocity (acceleration) equals zero, find when that occurs, substitute it into the velocity and evaluate?
Thanks
jakesilove:
--- Quote from: frog1944 on June 18, 2017, 10:47:57 am ---Hi,
For simple harmonic motion, if the question asks about the maximum velocity, can I say that as it is a trig function its maximum value for the trig part is 1, and then multiply it by the amplitude (if that makes sense)? Or do I have to say it occurs when the derivate of velocity (acceleration) equals zero, find when that occurs, substitute it into the velocity and evaluate?
Thanks
--- End quote ---
Yep, you can just use for first argument! Way easier than the second :)
I guess the only caveat is when the amplitude is negative; in that case, a maximum will occur when the trig part equals -1.
frog1944:
Ok, thanks :)
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