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## Homework Statement

The position vector of a particle at time t is given by r(t)= 2sin(2t)i + cos(2t)j + 2tk where t >=0.

## Homework Equations

v(t) = 4cos(2t)i - 2sin(2t)j + 2k

speed = | v(t) | =√

*(16cos^2(2t)+4sin^2(2t)+4) = √(12cos^2(2t)+8)*

## The Attempt at a Solution

I found the velocity and speed, but I have no idea what to do to find out the maximum and minimum speed for this question, someone can teach me???