The height h(t) (in feet) of the seat of a child's swing above ground level is given by h(t) = -1.1cos(2pi/3t)+3.1 where t is the time in seconds after the swing is set in motion.

Question

a) Find the maximum and minimum height of the swing.

Answer 1

you know that the max of cos(x) is 1 and the min is -1
so, A cosx oscillates between A and -A
So, this function oscillates between
3.1+1.1 and 3.1-1.1
or
4.2 and 2.0