The table shows the position of a motorcyclist after accelerating from rest. t (seconds) s (feet) 0 4.9 10.6 23.1 (1) [2, 4] 19.85 (ii) [3, 4] 27.2 (iii) [4, 5] 59.1 0 (iv) [4, 6] 93.85 (a) Find the average velocity (in ft/s) for each time period. ✔ ft/s ✓ ft/s 1 ft/s ✔ ft/s 2 3 4 5 6 50.3 109.4 238.0 (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.) 93 X ft/s
The table shows the position of a motorcyclist after accelerating from rest. t (seconds) s (feet) 0 4.9 10.6 23.1 (1) [2, 4] 19.85 (ii) [3, 4] 27.2 (iii) [4, 5] 59.1 0 (iv) [4, 6] 93.85 (a) Find the average velocity (in ft/s) for each time period. ✔ ft/s ✓ ft/s 1 ft/s ✔ ft/s 2 3 4 5 6 50.3 109.4 238.0 (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.) 93 X ft/s
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The table shows the position of a motorcyclist after accelerating from rest.
t (seconds)
s (feet)
(i) [2, 4]
19.85
(ii) [3, 4]
27.2
(iii) [4, 5]
59.1
0 1
(iv) [4, 6]
93.85
(a) Find the average velocity (in ft/s) for each time period.
0 4.9 10.6 23.1
✓ ft/s
ft/s
2
ft/s
3
ft/s
4
5
50.3 109.4
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.)
93
X ft/s
Enhanced Feedback
Please try again. When calculating the average velocity, you are actually calculating the slope of the secant line between
the two given points. Use the table to calculate the difference in distance for the given time period, and divide by the
change in time. To estimate the instantaneous velocity, look for a trend in average velocity and find a value matching the
trend for the given time.
CE
2: Lim
It a
vel
vel
ave
at t
5 se](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97c384ff-a804-4092-80e4-4b6418df372a%2F6366fb36-4c1c-4bb6-8179-21294135ad13%2Fdj92pmq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The table shows the position of a motorcyclist after accelerating from rest.
t (seconds)
s (feet)
(i) [2, 4]
19.85
(ii) [3, 4]
27.2
(iii) [4, 5]
59.1
0 1
(iv) [4, 6]
93.85
(a) Find the average velocity (in ft/s) for each time period.
0 4.9 10.6 23.1
✓ ft/s
ft/s
2
ft/s
3
ft/s
4
5
50.3 109.4
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.)
93
X ft/s
Enhanced Feedback
Please try again. When calculating the average velocity, you are actually calculating the slope of the secant line between
the two given points. Use the table to calculate the difference in distance for the given time period, and divide by the
change in time. To estimate the instantaneous velocity, look for a trend in average velocity and find a value matching the
trend for the given time.
CE
2: Lim
It a
vel
vel
ave
at t
5 se
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