h(t)= -16t^2 + 48t + 15
The maximum height will be reached after -b/2a secods = -48/2(-16) = 48/32 = 1.5 seconds
Then.....the max ht = -16(1.5)^2 + 48(1.5) + 15 = -16(2.25) + 72 + 15 = 51 ft
Here's the graph........https://www.desmos.com/calculator/poqqwhpqok
