A woman starts from her home at 9.00 am, walks at a speed of 5 km/h 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 auto with a speed of 25 km/h. Choose suitable scales and  plot the x-t graph of her motion.

Asked by Pragya Singh | 1 year ago |  83

##### Solution :-

Distance till her office = 2.5 km.
Walking speed the woman= 5 km/h
Time taken to reach office while walking = ($$\dfrac{2.5}{5}$$ ) h

=($$\dfrac{1}{2}$$) h = 30 minutes

Speed of auto = 25 km/h

Time taken to reach home in auto = $$\dfrac{2.5}{25}$$ = ($$\dfrac{1}{10}$$) h = 0.1 h = 6 minutes

In the graph, O is taken as the origin of the distance and the time, then at  t = 9.00 am, x = 0
and at t = 9.30 am, x = 2.5 km

OA is the portion on the x-t graph that represents her walk from home to the office. AB represents her time of stay in the office from 9.30 to 5. Her return journey is represented by BC.

Answered by Sudhanshu | 1 year ago

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