Question

The position of an object moving along a line is given by `p(t) = 7t - cos(( pi )/3t) + 2`. What is the speed of the object at `t = 13`?

Answer 1

The speed is `=7.91ms^-1`

Explanation:

The speed is the derivative of the position

`p(t)=7t-cos((pi/3)t)+2`

`v(t)=7+(pi/3)sin(pi/3)*t`

When `t=13`, the speed is

`v(13)=7+(pi/3)sin((pi/3)*13)`

`=7.91ms^-1`