Question

A particle is moving with uniform acceleration along a straight line ABC, where AB = BC. The average velocity of the particle from A to B is 10 m/s and from B to C is 15 m/s. The average velocity for the whole journey from A to C in m/s is ______.

• A. 12
• B. 12.5
• C. 13
• D. 13.5

Answer 1

The correct option is A 12

Let AB=BC=x

Time to reach B from A= $t_1=\frac{x}{10}$

Time to reach C from B= $t_2=\frac{x}{15}$

Average velocity between A and C=$\frac{x+x}{t_1+t_2}=\frac{2}{0.1+0.067}=12m/s$