For the position function s(t) = - 16t² + 105t, 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] Complete the following table. Time Interval Average Velocity [1, 1.5] [1, 1.1] [1, 1.01] [1, 1.001] [1,2] [1, 1.5] [1, 1.1] [1, 1.01] [1, 1.001] ப (Type exact answers. Type integers or decimals.) The value of the instantaneous velocity at t = 1 is (Round to the nearest integer as needed.)
For the position function s(t) = - 16t² + 105t, 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] Complete the following table. Time Interval Average Velocity [1, 1.5] [1, 1.1] [1, 1.01] [1, 1.001] [1,2] [1, 1.5] [1, 1.1] [1, 1.01] [1, 1.001] ப (Type exact answers. Type integers or decimals.) The value of the instantaneous velocity at t = 1 is (Round to the nearest integer as needed.)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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![For the position function s(t) = - 16t² + 105t, 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]
Complete the following table.
Time
Interval
Average
Velocity
[1, 1.5]
[1, 1.1]
[1, 1.01]
[1, 1.001]
[1,2]
[1, 1.5]
[1, 1.1]
[1, 1.01]
[1, 1.001]
ப
(Type exact answers. Type integers or decimals.)
The value of the instantaneous velocity at t = 1 is
(Round to the nearest integer as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb94ebdbc-2b2d-4ad8-a7a8-f80064954d96%2F4287d6e5-fe50-4faa-8404-f7de24f4e6c3%2Fespd7c_processed.png&w=3840&q=75)
Transcribed Image Text:For the position function s(t) = - 16t² + 105t, 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]
Complete the following table.
Time
Interval
Average
Velocity
[1, 1.5]
[1, 1.1]
[1, 1.01]
[1, 1.001]
[1,2]
[1, 1.5]
[1, 1.1]
[1, 1.01]
[1, 1.001]
ப
(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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