How do find maximum speed?

A child rocks back and forth on a porch swing with an amplitude of 0.300 m and a period of 2.00 s. Assuming the motion is approximately simple harmonic, find the child's maximum speed.


Hello dear Katsuma, use the expression a w for getting maximum speed. Here a is the amplitude and it is given as 0.300 m and w is the angular frequency which equals to 2pi/T. Pi is 3.14 and T is the period which is given here as 2 second.

So the maximum speed = 0.3 pi = 0.942 m/s.