Question

A woman starts from her home at 9.00 am, walks with a speed of 5 km h–1 on the 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​

Answer 1

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Speed of the woman = 5 km/h

Distance between her office and home = 2.5 km

Time taken = Distance / Speed

= 2.5/5=0.5 h=30 min

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

Now, speed of the auto =25 km/h

Time taken = Distance / Speed

= 2.5/25=1/10=0.1 h=6 min

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