Motion In One Dimension Question 2
Question 2 - 25 January - Shift 1
A car travels a distance of ’ $x$ ’ with speed $V_1$ and then same distance ’ $x$ ’ with speed $V_2$ in the same direction. The average speed of the car is:
(1) $\frac{v_1 v_2}{2(v_1+v_2)}$
(2) $\frac{v_1+v_2}{2}$
(3) $\frac{2 x}{v_1+v_2}$
(4) $\frac{2 v_1 v_2}{v_1+v_2}$
$\longleftarrow x \longrightarrow x \longrightarrow$
Show Answer
Answer: (4)
Solution:
Formula: Average Velocity
Average velocity $=\frac{\text{ Total displacement }}{\text{ Total time }}$
$=\frac{x+x}{\underline{x}+\underline{x}}=\frac{2 v_1 v_2}{v_1+v_2}$
