Question

A woman starts from her home at $9.00am$, 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 $5.00pm$, 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 1

Given that,

Speed of women = 5 km/h

Distance between her office and home = 2.5 km

Speed of auto = 25 km/h

Now, the time taken

$t=\frac{D}{v}$

$t=\frac{2.5}{5}$

$t=0.5h$

$t=30min$

Now, she covers the same distance in the evening by the auto

$t=\frac{2.5}{25}$

$t=0.1h$

$t=6min$

Now, the $x-t$ graph of the motion of the women