Q145 / 200 · Manipal (MET) 2013 · Physics
A car travelling on a straight track moves with uniform velocity of $v_1$ for some time and with unifrom velocity $v_2$ for the next equal time the average velocity on the car is
- A$\frac{v_1 v_2}{2}$
- B$\frac{v_1 v_2}{4}$
- Correct answerC$\frac{v_1+v_2}{2}$
- D$\frac{v_1-v_2}{2}$
Solution
Average velocity is equal to ratio of total displacement to total time. Velocity is a vector quantity and average velocity is defined as the total displacement undergone by the body per unit time.
Displacement in first instance $=v_1 t$
Displacement in second instance $=v_2 t$
$\therefore \quad$ Average velocity $=\frac{v_1 t+v_2 t}{t+t}=\frac{v_1+v_2}{2}$
Hence, the correct answer is option: 'C'.