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Question

A woman starts from her home at 9:00am walks with a speed of 5kmh-1on a straight road up to her office 2.5km away, stays at the office up to 5.00pm, and returns home by an auto with a speed of 25kmh-1.

Choose suitable scales and plot the x-t graph of her motion.


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Solution

Step 1. Time at which women reached to office and home

Distance between the office and the home =2.5km

The speed of the women =5kmh-1

Time taken by the women to reach the office is,

Timetakentoreachoffice=2.55=0.5h=30min

At 9:30am the women is at the office till 5pm.

The speed of auto =25kmh-1

The time taken by the women to reach back home is

Timetakentoreachhomeback=2.525=0.1h=6min

At 5:06pm women reach home.

Step 2. Plot the graph

Now plot the x-t graph of her motion, where the women start from home at 9:00am and reaches by 9:00am, and then she returns from the office at 5.00 pm and reaches home by 5.06 pm.

The position-time graph will be

The time taken by the woman to reach back home is 30min At 9:30 am the women is at the office till 5 pm.

The time taken by the women to reach back home is 6min at 5:06 pm women reach home.


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