?[T] The distance in feet that a ball rolls down an incline is modeled by the function

Chapter 3, Problem 46

(choose chapter or problem)

[T] The distance in feet that a ball rolls down an incline is modeled by the function \(s(t)=14 t^{2},\), where t is seconds after the ball begins rolling.

a. Find the average velocity of the ball over the following time intervals:

i. [5, 5.1]

ii. [5, 5.01]

iii. [5, 5.001]

iv. [5, 5.0001]

b. Use the answers from a. to draw a conclusion about the instantaneous velocity of the ball at t = 5 seconds.

Text Transcription:

s(t)=14t^2

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