3. A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum was at its resting position. The pendulum then moved right (positive displacement) and left (negative displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its resting position. The pendulum's furthest distance to either side was 6 in. Graph the function that represents the pendulum's displacement as a function of time. (a) Write an equation to represent the displacement of the pendulum as a function of time. (b) Graph the function.

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter15: Oscillatory Motion
Section: Chapter Questions
Problem 15.2CQ
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3. A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum
was at its resting position. The pendulum then moved right (positive displacement) and left (negative
displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its
resting position. The pendulum's furthest distance to either side was 6 in. Graph the function that represents
the pendulum's displacement as a function of time.
(a) Write an equation to represent the displacement of the pendulum as a function of time.
(b) Graph the function.
Answer:
f(t)
10
9+
8-
7-
6-
5-
3-
3.
-1
10
11
12 13 14 15
-2
-3
-4
-5
-7
10
6.
4.
4.
2.
1.
Transcribed Image Text:3. A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum was at its resting position. The pendulum then moved right (positive displacement) and left (negative displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its resting position. The pendulum's furthest distance to either side was 6 in. Graph the function that represents the pendulum's displacement as a function of time. (a) Write an equation to represent the displacement of the pendulum as a function of time. (b) Graph the function. Answer: f(t) 10 9+ 8- 7- 6- 5- 3- 3. -1 10 11 12 13 14 15 -2 -3 -4 -5 -7 10 6. 4. 4. 2. 1.
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