5.
a. Minimum height = .5 Max height = 4
b. It will reach a minimum after 1 second
c. Height after 2.5 seconds =
Note : cos (2.5 pi) = same as cos (pi/2) = 0
1.75cos (2.5 pi ) + 2.25 = 1.75 (0) + 2.25 = 2.25
Here's a graph : https://www.desmos.com/calculator/lcxviz3ffb