Question

The position of an object moving along a line is given by `p(t) = 3t - tcos(( pi )/3t)`. What is the speed of the object at `t = 5`?

Answer 1

`s(5) ~~ -2.0`

Explanation:

Given: `p(t) = 3t - tcos(pi/3t)`

The speed is the first derivative:

`s(t) = 3 - cos(pi/3t) + pi/3tsin(pi/3t)`

`s(5) ~~ -2.0`