# Q 3.3 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.

Distance between the office and the home = 2.5 Km

the speed of the women=5 Kmh-1

time taken by the women to reach the office is

$\frac{2.5}{5}=0.5h=30 min$

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

The speed of auto = 25 Kmh-1

The time taken by the women to reach back to home is

$\frac{2.5}{25}=0.1h=6 min$

at 5:06 pm women reach home.

The position-time graph will be

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