Answer:
68 feet.
Step-by-step explanation:
At maximum height, the velocity of the flare will be zero.
If the flare height above the ground is modeled by the equation
h = -16t²+64t+4
Velocity = dh/dt = 0
-32t + 64 = 0
-32t = -64
t = -64/-32
t = 2secs
This shows that the flare reaches its maximum height after 2secs.
To get the maximum height of the flare, we will substitute t = 2s into the equation h = -16t²+64t+4
h = -16(2)² + 64(2)+4
h = -64+128+4
h = 64+4
h = 68 feet
The maximum height of the flare is 64 feet.
