A mass on the end of a spring which is hanging vertically is raised up and let go. It then oscillates between 2m and 1.5m above the floor and completes 32 cycles in one minute. The height, h metres, of the mass above the floor after t seconds can be modelled by the function

Question

A mass on the end of a spring which is hanging vertically is raised up and let go.  It then oscillates between 2m and 1.5m above the floor and completes 32 cycles in one minute.  The height, h metres, of the mass above the floor after t seconds can be modelled by the function

h = acos(πbt/180)+c

1. Determine exactly the period, T, of the oscillation in seconds per cycle and hence find the value of b.

By considering the extremes of the oscillation, work out the values of a and c.

thanks for your help

1. period = 60 seocnds/32 = 1.875 
b=1.875?