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Any help please? (pre-algebra) Please provide an explanation, if not it’s fine but one would be appreciated.

Any Help Please Prealgebra Please Provide An Explanation If Not Its Fine But One Would Be Appreciated class=

Answer :

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.

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