Question
A woman starts from her home at $9.00$ am, walks with a speed of $5km h^{–1}$ on a straight road up to her office $2.5km$ away, stays at the office up to $5.00$ pm, and returns home by an auto with a speed of $25km h^{–1}$. Choose suitable scales and plot the x-t graph of her motion.

Answer

Speed of the woman = 5km/h Distance between her office and home = 2.5km Time Taken = Distance/Speed = 2.5/5 = 0.5h = 30 min It is given that she covers the same distance in the evening by an auto. Now, speed of the auto = 25km/h Time Taken = Distance/Speed = 2.5/25 = 1/10h = 0.1h = 6 min The suitable x-t graph of the motion of the woman is shown in the given figure.

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