The table shows the position of a motorcyclist after accelerating from rest. t (seconds) s (feet) (a) Find the average velocity (in ft/s) for each time period. (1) [2, 4] (ii) [3, 4] (iii) [4, 5] (iv) [4, 6] ft/s ft/s ft/s ft/s 0 0 1 4.9 2 3 4 10.7 23.2 50.4 5 6 109.5 238.0 (b) Plot the points in the table to create a graph of s as a function of t to estimate the instantaneous velocity (in ft/s) when t = 3. (Round your answer to one decimal place.) ft/s

Calculus: Early Transcendentals
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Author:James Stewart
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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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The table shows the position of a motorcyclist after accelerating from rest.
t (seconds)
s (feet)
(a) Find the average velocity (in ft/s) for each time period.
(1) [2, 4]
(ii) [3, 4]
(iii) [4, 5]
(iv) [4, 6]
ft/s
ft/s
ft/s
ft/s
0
0
1
4.9
2
10.7
3
4
23.2 50.4
5
109.5
6
238.0
(b) Plot the points in the table to create a graph of s as a function of t to estimate the instantaneous velocity (in ft/s) when t = 3. (Round your answer to one decimal place.)
ft/s
Transcribed Image Text:The table shows the position of a motorcyclist after accelerating from rest. t (seconds) s (feet) (a) Find the average velocity (in ft/s) for each time period. (1) [2, 4] (ii) [3, 4] (iii) [4, 5] (iv) [4, 6] ft/s ft/s ft/s ft/s 0 0 1 4.9 2 10.7 3 4 23.2 50.4 5 109.5 6 238.0 (b) Plot the points in the table to create a graph of s as a function of t to estimate the instantaneous velocity (in ft/s) when t = 3. (Round your answer to one decimal place.) ft/s
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