At a carnival, an animated target oscillates (moves back and forth) in a straight line from a fixed point such that after t seconds, its horizontal displacement, in meters, is given by h(t) = cos(t) + cos(2t), 0 ≤ t ≤ 5.
Determine the maximum velocity (to the nearest hundredth of a m/s) that the target attains and the time (to the nearest hundredth of a second) that it occurs. [Hint: you might need the double angle formula, quadratic formula, and CAST rule]