A woman starts from her home at 9.00 a.m., walks with a speed of 5 km on a straight road up to her office 2.5 km away, stays at the office up to 5.00 p.m. and returns home by an auto with a speed of 25 km Choose suitable scdles and plot the x-t graph of the motion

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

Let v1 = speed of woman while walking at 5 km

x = Distance covered by her = 2.5 km

When O, is regarded as origin for both time and distance, then at t = 9.00 a.m., x = 0, and at t =9.30 a.m., x = 2.5 km and she reaches in her office. So, OP represents x-t graph of the motion when the woman walks from her home to office.

When she stays at her office from 9.30 a.m. to 5.00 p.m., she is at rest and her stay is represented by the straight line PQ in the graph.

On return, speed of auto,

So, she reaches back to her home at 5.06 p.m.

Her motion on the return journey is shown by QR part of the graph. ’

Scale taken

Time on x-axis,1 division = 1 hour.

Distance on y-axis,l division = 0.5