5 3. A motion detector is used to measure the horizontal distance between a person and a child on a swing. The data is shown in the graph. 4.0- 3.6 3.2- a) When is the distance changing at its fastest rate? Explain how you know. 2.8 E 24 2.0- 16 12 0.8- 0.4- b) What is the average rate of change from 0.5 seconds to 1 second? 1.0 Time (s) 0.5 1.5 2.0 c) At what time is the rate of change 0? Explain how you know. Distance (m)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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三
2
3
5.
| 6
3. A motion detector is used to measure the
horizontal distance between a person and a
child on a swing. The data is shown in the
graph.
407
3.6-
3.2
a) When is the distance changing at its
2.8
fastest rate?
24
Explain how you know.
20-
16
12
0.8-
0.4
b) What is the average rate of change
from 0.5 seconds to 1 second?
15
Time (s)
0.5
1.0
2.0
c) At what time is the rate of change 0? Explain how you know.
d) Draw a tangent line at 1.5s and use it to estimate the instantaneous rate of change
at that time.
目
Distance (m)
!
Transcribed Image Text:三 2 3 5. | 6 3. A motion detector is used to measure the horizontal distance between a person and a child on a swing. The data is shown in the graph. 407 3.6- 3.2 a) When is the distance changing at its 2.8 fastest rate? 24 Explain how you know. 20- 16 12 0.8- 0.4 b) What is the average rate of change from 0.5 seconds to 1 second? 15 Time (s) 0.5 1.0 2.0 c) At what time is the rate of change 0? Explain how you know. d) Draw a tangent line at 1.5s and use it to estimate the instantaneous rate of change at that time. 目 Distance (m) !
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