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hiA woman starts from her home at 9.00 am, walks with a speed of 5 km h-1 on a straight road up to her office 2.5 km away, stays at the office up to 5.00 pm, and returns home by an auto with a speed of 25 km h-1. Choose suitable scales and plot the x-t graph of her motion.
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hiA woman starts from her home at 9.00 am, walks with a speed of 5 km ...
To plot the x-t graph of the woman's motion, we need to first calculate the time taken by her to walk to her office and the time taken by her to return home by auto.

Time taken to walk to office = Distance/Speed = 2.5 km/5 km/h = 0.5 h

Time taken to return home by auto = Distance/Speed = 2.5 km/25 km/h = 0.1 h

Now, we can plot the x-t graph using the following coordinates:

(0,0) - starting point at 9.00 am
(2.5,0.5) - reaching office at 9.30 am
(2.5,8.5) - leaving office at 5.00 pm
(0,8.6) - reaching home by auto at 5.06 pm

We can choose a scale of 1 cm = 1 km on the x-axis and 1 cm = 1 hour on the y-axis. The x-t graph would look like this:

![x-t graph of woman's motion](https://i.imgur.com/2l1W7Fk.png)
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hiA woman starts from her home at 9.00 am, walks with a speed of 5 km h-1 on a straight road up to her office 2.5 km away, stays at the office up to 5.00 pm, and returns home by an auto with a speed of 25 km h-1. Choose suitable scales and plot the x-t graph of her motion. Related: The Root: Types, Regions of Root & Modification of Root?
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