21-24. Instantaneous velocity For the following position functions, make a table of average velocities similar to those in Exercises 19-20 and make a conjecture about the instantaneous velocity at the indicated time. 21. s(t) = -16t² + 80t + 60 at t = 3 22. s(t) = 20 cost at t = π/2 23. s(t) = 40 sin 2t at t = 0 24. s(t) = 20/(t+1) at t = 0
21-24. Instantaneous velocity For the following position functions, make a table of average velocities similar to those in Exercises 19-20 and make a conjecture about the instantaneous velocity at the indicated time. 21. s(t) = -16t² + 80t + 60 at t = 3 22. s(t) = 20 cost at t = π/2 23. s(t) = 40 sin 2t at t = 0 24. s(t) = 20/(t+1) at t = 0
Calculus: Early Transcendentals
8th Edition
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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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Transcribed Image Text:21-24. Instantaneous velocity For the following position functions, make a
table of average velocities similar to those in Exercises 19-20 and make a
conjecture about the instantaneous velocity at the indicated time.
21. s(t) = -16t² + 80t + 60 at t = 3
22. s(t) = 20 cost at t = π/2
23. s(t)= 40 sin 2t at t = 0
24. s(t) = 20/(t+1) at t = 0
![23.
Time interval
[0, 1]
[0, 0.5]
[0, 0.1]
[0, 0.01]
[0, 0.001]
Average velocity
36.372
67.318
79.468
79.995
80.000
Vinst 80
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ea0963c-64ff-46a6-b97c-79944ef211ae%2F4c4f3b1e-2b9b-440d-9d5f-85532eff7a59%2Fwyg1ibk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:23.
Time interval
[0, 1]
[0, 0.5]
[0, 0.1]
[0, 0.01]
[0, 0.001]
Average velocity
36.372
67.318
79.468
79.995
80.000
Vinst 80
-
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