Question
Asked Aug 26, 2019
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Given the function s(t)= -16t+ 128t, what is the average velocity at time interval [1,2]? Then make a conjecture about the value of the instantaneous velocity at t=1.

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Expert Answer

Step 1

The given function is,

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s(t)16128

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Step 2

Compute the average velocity at time interval [1,2] as follows.

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Average velocity at time interval [t,t + h]= S(7 +h)-s(1) (t+h)-t _ Average velocity at time interval [1,21= $(2)-s(1) 2 1 - 192-112 -80

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Step 3

Obtain the instantaneous velocity a...

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Instantaneous velocity at t is s'(t)=-321 128 Instantaneous velocity at 1 is s'(1) =96 S

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Tagged in

Math

Calculus

Derivative