Question

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

Answer 1

3.016

Explanation:

The position is given as

`p(t)=3t-2cos(pi/8 t)+2`

Hence, the speed is given as

`v(t) = (dp)/dt = 3+2pi/8sin(pi/8 t)`

Hence the speed at `t = 3` is:

`v(3) = 3+2pi/8* sin((3pi)/8) ~~3.016`