AthenAt6958 AthenAt6958

03-07-2018
Mathematics

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At t sec after liftoff, the height of a rocket is 5t squaredft. how fast is the rocket climbing 5 sec after the liftoff?

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sqdancefan sqdancefan

03-07-2018

Given
h(t) = 5t² . . . . ft for t in seconds

Find
h'(5)

Solution
Differentiating, we have
h'(t) = 10t
Substituting t=5 gives
h'(5) = 10·5 = 50 . . . . ft/s

5 sec after liftoff, the rocket is climbing 50 ft/s.

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