For the position function s(t) = - 16t² + 114t, complete the following table with the appropriate average velocities. Then make a conjecture about the value of the instantaneous velocity at t = 1. Time Interval Average Velocity [1,2] [1, 1.5] [1, 1.1] [1, 1.01] [1, 1.001] Complete the following table. Time [1, 2] [1, 1.5] [1, 1.1] [1, 1.01] [1, 1.001] Interval Average Π П ப ப ☐ Velocity (Type exact answers. Type integers or decimals.) The value of the instantaneous velocity at t = 1 is (Round to the nearest integer as needed.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
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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For the position function s(t) = - 16t² + 114t, complete the following table with the appropriate average velocities. Then make a conjecture about
the value of the instantaneous velocity at t = 1.
Time
Interval
Average
Velocity
[1,2]
[1, 1.5]
[1, 1.1]
[1, 1.01]
[1, 1.001]
Complete the following table.
Time
[1, 2]
[1, 1.5]
[1, 1.1]
[1, 1.01]
[1, 1.001]
Interval
Average
Π
П
ப
ப
☐
Velocity
(Type exact answers. Type integers or decimals.)
The value of the instantaneous velocity at t = 1 is
(Round to the nearest integer as needed.)
Transcribed Image Text:For the position function s(t) = - 16t² + 114t, complete the following table with the appropriate average velocities. Then make a conjecture about the value of the instantaneous velocity at t = 1. Time Interval Average Velocity [1,2] [1, 1.5] [1, 1.1] [1, 1.01] [1, 1.001] Complete the following table. Time [1, 2] [1, 1.5] [1, 1.1] [1, 1.01] [1, 1.001] Interval Average Π П ப ப ☐ Velocity (Type exact answers. Type integers or decimals.) The value of the instantaneous velocity at t = 1 is (Round to the nearest integer as needed.)
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