Question

The position of an object moving along a line is given by `p(t) = sin(2t- pi /8) +2`. What is the speed of the object at `t = (2pi) /3`?

Answer 1

I found: `-1.6m/s`

Explanation:

I would derive the time function to get the velocity as:
`v(t)=(dp)/(dt)=2cos(2t-pi/8)`
at `t=(2pi)/3` we get:
`v((2pi)/3)=2cos(2(2pi)/3-pi/8)=-1.6m/s`