Answer:
Option C
Step-by-step explanation:
Height of the rocket is modeled by,
h(t) = -16t² + 125t + 24
Height of the rocket in t = 0.1 seconds
h(0.1) = -16(0.1)² + 125(0.1) + 24
= -0.16 + 12.5 + 24
= 36.34 feet
At t = 5 seconds,
h(0.5) = -16(5)² + 125(5) + 24
= -400 + 625 + 24
= 249 feet
At t = 5.6 seconds,
h(5.6) = -16(5.6)²+ 125(5.6) + 24
= -501.76 + 700 + 24
= 222.24 feet
At t = 7.8 seconds,
h(7.8) = -16(7.8)² + 125(7.8) + 24
= -973.44 + 975 + 24
= 25.56 feet
Therefore, change in height is maximum at t = 5.6 seconds
Option C will be the answer.
