Question

The position of an object moving along a line is given by `p(t) = 2t - sin(( pi )/4t)`. What is the speed of the object at `t = 3`?

Answer 1

The speed is `=1.44ms^-1`

Explanation:

The speed is the derivative of the position

`p(t)=2t-sin(1/4pit)`

Therefore,

`v(t)=p'(t)=2-1/4picos(1/4pit)`

When `t=3`

`v(3)=2-1/4picos(3/4pi)=1.44ms^-1`