Question

The function f(t)=−16t2+88t+12 represents the height (in feet) of a pumpkin t seconds after it is launched from a catapult. when does the pumpkin reach the max height in seconds. whats the max height in feet

Answer 1

Answer:

2.75 seconds and 133 feet

Step-by-step explanation:

We require to find the coordinates of the vertex of the parabola

the t coordinate ( time ) for a quadratic in standard form is

$t_{vertex}$ = - $\frac{b}{2a}$

with a = - 16 and b = 88

t = - $\frac{88}{-32}$ = 2.75 seconds ← time taken to reach max

to find the max height evaluate f(2.75 )

f(2.75 ) = - 16( 2.75)² + 88(2.75) + 12 = - 121 + 242 + 12 = 133 feet