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A position-time graph for linear motion ...

A position-time graph for linear motion of an object in one dimension shows the object's displacement d from some origin at any given time t. If the graph is linear, its slope m is given by
m=`"rise"/"run"="charge in d"/"charge in t"=(d_1-d_2)/(t_1-t_2)=barv`,
where `barv` is the average velocity of the object . `(t_1,d_1)` and `(t_2,d_2)` are any two points on the line. The graph above is a position time graph for a person who takes a walk from her house .
Which of the following scenarios is consistent with the graph ?

A

After 20 minutes the displacement of the person from her house is approximately 230 + 230 +410 + 900 =1770 m

B

The woman reverses direction every 5 minutes during her walk

C

After the first 5 minutes of her walk , the woman stops for 5 minutes . She then resumes walking.

D

The woman stops walking briefly at t=5, t=10 and t=15 minutes .

Text Solution

Verified by Experts

The correct Answer is:
C
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