The table shows the position of a motorcyclist after accelerating from rest. t (seconds) 0 s (feet) 0 4.9 10.6 23.1 (a) Find the average velocity (in ft/s) for each time period. (i) [2, 4] 19.85 (ii) [3, 4] 27.2 (iii) [4, 5] 59.1 (iv) [4, 6] 93.8 1 2 ft/s ft/s ft/s ft/s 3 4 5 6 50.3 109.4 237.9 (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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The table shows the position of a motorcyclist after accelerating from rest.
t (seconds) 0
s (feet) 0 4.9 10.6 23.1
(a) Find the average velocity (in ft/s) for each time period.
(i) [2, 4]
19.85
(ii) [3, 4]
27.2
(iii) [4, 5]
59.1
1
(iv) [4, 6]
93.8
ft/s
ft/s
ft/s
ft/s
2
3
4
50.3
5
6
109.4 237.9
(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) 0 s (feet) 0 4.9 10.6 23.1 (a) Find the average velocity (in ft/s) for each time period. (i) [2, 4] 19.85 (ii) [3, 4] 27.2 (iii) [4, 5] 59.1 1 (iv) [4, 6] 93.8 ft/s ft/s ft/s ft/s 2 3 4 50.3 5 6 109.4 237.9 (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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