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Distance-time graphs

A woman start...

Question

A 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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Solution

Speed of the woman = 5 km/h

Distance between her office and home = 2.5 km

It is given that she covers the same distance in the evening by an auto.

Now, speed of the auto = 25 km/h

The suitable x-t graph of the motion of the woman is shown in the given figure.

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