Question

The position of an object moving along a line is given by `p(t) = 4t - tsin(( pi )/8t)`. What is the speed of the object at `t = 7`?

Answer 1

I tried this (but check my maths):

Explanation:

To find the velocity we can derive the function of position (in meter I think) with respect to `t`:

`v(t)=(dp(t))/(dt)=4-[sin(pi/8t)+pi/8tcos(pi/8t)]`

Let us now evaluate this at `t=7` (seconds, I think):

`v(7)=4-[sin(pi/8*7)+pi/8*7cos(pi/8*7)]=6.1m/s`