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