Easy MCQ +4 / -1 PYQ · JEE Mains 2023

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. A ${{{v_1}{v_2}} \over {2({v_1} + {v_2})}}$
  2. B ${{2{v_1}{v_2}} \over {{v_1} + {v_2}}}$ Correct answer
  3. C ${{2x} \over {{v_1} + {v_2}}}$
  4. D ${{{v_1} + {v_2}} \over 2}$

Solution

$$ \begin{aligned} & \text { Average velocity }=\frac{\text { Total displacement }}{\text { Total time }} \\\\ & =\frac{\mathrm{x}+\mathrm{x}}{\frac{\mathrm{x}}{\mathrm{v}_1}+\frac{\mathrm{x}}{\mathrm{v}_2}}=\frac{2 \mathrm{v}_1 \mathrm{v}_2}{\mathrm{v}_1+\mathrm{v}_2} \end{aligned} $$

About this question

Subject: Physics · Chapter: Kinematics · Topic: Motion in a Straight Line

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