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

Question

Philoid · Accepted Answer

Given,

Speed of the woman = 5 km/h

Distance between her home and office = 2.5 km

Ideal time at office = (12+5) – 9 = 8 hr.

Speed of the Auto = 25 km/h

We know that,

1. Distance between her home and office remains same.

2. Slope of auto journey is more than the slope of journey by walk since the speed of auto is higher than speed by walk.

By interpreting all this data, we obtain graph as follows,

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