Question

A point moves rectilinearly in one direction. Above figure shows the distance $s$ traversed by the point as a function of the time $t$. Using the plot, find the maximum velocity.

• A. $1.5m/s$
• B. $2.5m/s$
• C. $2m/s$
• D. $5m/s$

Answer 1

The correct option is B $2.5m/s$

Since velocity is the slope of distance versus time graph, thus maximum velocity means maximum slope or the point of inflation.

From the graph, it can be clearly seen that maximum slope occurs in the straight line region between $10$ seconds and $14$ seconds, which is given by

$v=\frac{14-4}{14-10}$ or

$v=\frac{10}{4}=2.5$ m/s