HSC Stuff > HSC Mathematics Extension 1

SHM Maximum Velocity

(1/1)

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 :)

Navigation

[0] Message Index

Go to full version