Step-by-step explanation:
first of all, it is a baseball.
then there is a typo even in the original question (as shown in the photo). many greetings to your teacher, but the function is
h(t) = -16t² + 48t + 64
and in the scenario the ball is said to be thrown downwards. but in effect, it is thrown actually upwards a bit, before it turns down.
we can prove this also formally, as the extreme values (max. and min.) of a function are the zeros of the first derivative of the function :
h'(t) = -32t + 48 = 0
32t = 48
t = 48/32 = 3/2 = 1.5 s
h(1.5) = -16×1.5² + 48×1.5 + 64 = -16×2.25 + 48×1.5 + 64 =
= -36 + 72 + 64 = 100 ft
the baseball reaches its max. height after 1.5 seconds at 100 ft.
