1) Consider the position function s(t)=-4.9t² +30t+20 meters. a) Complete the following table with the appropriate average velocities. Round to 4 decimal places if necessary. Time interval Average velocity [2,3] 5.5000 [2,2.5] 7.9500 [2,2.1] 9.9100 [2,2.01] 10.3510 no units [2,2.001] 10.3951 b) Make a conjecture about the value of the instantaneous velocity at t=2 seconds. s(a) 5(+) = Y(+)

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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Calculus I

May I please have the solution for part b of the following problem?

Thank you so much

 

1) Consider the position function s(t)=-4.9t² +30t+20 meters.
a) Complete the following table with the appropriate average velocities. Round to 4 decimal
places if necessary.
Time interval
Average velocity
[2,3]
5.50000
[2,2.5]
7.9500
✓
[2,2.1]
9.9100 1
[2,2.01]
10.3510
no units
[2,2.001]
10.3951
b) Make a conjecture about the value of the instantaneous velocity at t=2 seconds.
5(+) = Y(+)
5 (6) - S(²₂)
Transcribed Image Text:1) Consider the position function s(t)=-4.9t² +30t+20 meters. a) Complete the following table with the appropriate average velocities. Round to 4 decimal places if necessary. Time interval Average velocity [2,3] 5.50000 [2,2.5] 7.9500 ✓ [2,2.1] 9.9100 1 [2,2.01] 10.3510 no units [2,2.001] 10.3951 b) Make a conjecture about the value of the instantaneous velocity at t=2 seconds. 5(+) = Y(+) 5 (6) - S(²₂)
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