The position of the oscillating object in cm, relative to a fixed point is given as a function of time, t, in seconds by:


a) Find an expression for the velocity and acceleration of the object. (Remember velocity is the derivative of position, and acceleration is the derivative of velocity)

I don't have a lot of experience with physics at all so I'm really unsure about how I should approach this. I tried getting the derivative of the position as the hint suggests, but the answer I got was 0 because I was deriving a constant which can't be right.

  • $\begingroup$ So you take the derivative of the position against time $\endgroup$ – Yujie Zha May 17 '18 at 4:09
  • $\begingroup$ I tried to do that... or at least I thought I did. I tried to differentiate position and I ended up with -sin(0) which became 0. Any hints? Also I prematurely sent a comment earlier which I deleted in case you were wondering. $\endgroup$ – bundt tin May 17 '18 at 4:13
  • $\begingroup$ HINT: what's $\frac{d}{dt}\cos(2\pi \omega t)$?, Notice $t$ is NOT a constant $\endgroup$ – Yujie Zha May 17 '18 at 4:15
  • $\begingroup$ I FEEL SO SILLY THANK YOU SO MUCH!!!! $\endgroup$ – bundt tin May 17 '18 at 4:16
  • $\begingroup$ No worries, you're welcome $\endgroup$ – Yujie Zha May 17 '18 at 4:17

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