Answer:
36
Step-by-step explanation:
The maximum will be at the axis of symmetry. We know its a maximum because the parabola opens downward (a<0) The axis of symmetry is at
t = -b/2a where y =at^2 +bt+c
h(t) = -16t^2 +32t +20
so the axis of symmetry is t =-32/ 2*-16 = -32/-32 = 1
To find the maximum height, we substitute this value into the equation
h(1) = -16(1)^2 +32 +20
= -16+32+20
= 36
