on
a straight road up to her office 2.5 km away, stays at the office up to 5 P.M.
and returns home by an auto with a speed of 
. Choose
suitable scales and plot the x-t graph of her motion.
Answer:
For the journey from home to office:
The time at which woman leaves for her
office is 9 A.M.
As she travels with a speed of 
and the distance
of office is 2.5 km, hence time taken by her to reach office,
Hence the time at which she reaches
office is 9.30 A.M.
Between 9.30 A.M. to 5.00 P.M.,
she stays in her office i.e. at a distance of 2.5 km from her home.
For the return journey from
office to home:
The time at which she leaves her
office = 5 P.M.
Now she travels a distance of
2.5 km with a speed of 
hence
the time taken
minutes
The time at which she reaches
her home = 5.06 P.M. The x-t graph of the woman's motion is shown in Fig. 3.83.
Here 9 A.M. is regarded as the origin for time-axis and home as the origin for
the position-axis.
Fig. 3.83
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