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.

Explanation

Time taken in reaching office
`="Distance"/"Speed"=(25)/5=0.5 hr.`
Time taken in returning from office = `(2.5)/25`
`=0.1 hr=6` min

It means the woman reaches the office at 9.30 am and returns home at 5.06 p.m. The x - t graph of this motion will be as shown in fig. 2(NCT) 2.