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