The average rate of change of a rocket's height, modeled by h(t) = -16t^2 + 160t, o...
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Problem
The average rate of change of a rocket's height, modeled by h(t) = -16t^2 + 160t, over the interval [4, 5].
Step-by-step solution
The average rate of change is calculated as (h(5) - h(4)) / (5 - 4). h(5) = -16(5^2) + 160(5) = 400. h(4) = -16(4^2) + 160(4) = 544. Average rate of change = (400 - 544) / 1 = -144.
Answer
-144