Question

A car travelling on a straight track moves with uniform velocity of $v_1$ for some time and with uniform velocity $v_2$ for the next equal time the average velocity on the car is?

• A. $\frac{v_1{v}_2}{2}$
• B. $\frac{v_1{v}_2}{4}$
• C. $\frac{v_1+v_2}{2}$
• D. $\frac{v_1-v_2}{2}$

Answer 1

Answer: (C)

$\frac{v_1+v_2}{2}$

Average velocity is equal to ratio of a displacement to total time. Velocity is a $v_0$ quantity and average velocity is defined as the displacement undergone by the body per unit.
Displacement in first instance $=v_{1}t$
Displacement in second instance$=v_{2}t$
$\therefore$ Average velocity $=\frac{v_{1}t+v_{2}t}{t+t}=\frac{v_1+v_2}{2}$.