Question

The position of an object moving along a line is given by `p(t) = 2t - sin(( pi )/6t)`. What is the speed of the object at `t = 8`?

Answer 1

The speed is `=2.26ms^-1`

Explanation:

The speed is the derivative of the position

`p(t)=2t-sin(pi/6t)`

`v(t)=p'(t)=2-pi/6cos(pi/6t)`

Therefore,

When `t=8`

`v(8)=2-pi/6cos(pi/6*8)=2.26ms^-1`