Consider the position function s(t) = 8 sin 3t that describes a block bouncing vertically on a spring. Complete the following table with the appropriate average velocities. Then make a conjecture about the value of the instantaneous velocity at t = 21 Time + 0.1 2 2 + 0.01 2 2 +0.0001 2'2 + 0.001 Interval 2 2 2 Average Velocity

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the position function s(t) = 8 sin 3t that describes a block bouncing vertically on a spring. Complete the following table with the appropriate average velocities.
Then make a conjecture about the value of the instantaneous velocity at t =
2
Time
TO
元
+0.1
+ 0.01
+ 0.001
+0.0001
Interval
元
2
2 2
2 2
2' 2
Average
Velocity
...
R一
R一2
Transcribed Image Text:Consider the position function s(t) = 8 sin 3t that describes a block bouncing vertically on a spring. Complete the following table with the appropriate average velocities. Then make a conjecture about the value of the instantaneous velocity at t = 2 Time TO 元 +0.1 + 0.01 + 0.001 +0.0001 Interval 元 2 2 2 2 2 2' 2 Average Velocity ... R一 R一2
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