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⚛️ Physics  ·  Motion in a Straight Line  ·  NEET & JEE

A body travels half its total distance with speed v<sub>1</sub> and half with v<sub>2</sub>. Its average speed is:

Answer: 2v 1 v 2 /(v 1 +v 2 ).

  • A (v<sub>1</sub>+v<sub>2</sub>)/2
  • B 2v<sub>1</sub>v<sub>2</sub>/(v<sub>1</sub>+v<sub>2</sub>)
  • C √(v<sub>1</sub>v<sub>2</sub>)
  • D v<sub>1</sub>v<sub>2</sub>/(v<sub>1</sub>+v<sub>2</sub>)

Correct answer: B. 2v<sub>1</sub>v<sub>2</sub>/(v<sub>1</sub>+v<sub>2</sub>)

Explanation: For equal distances, average speed = harmonic mean = 2v<sub>1</sub>v<sub>2</sub>/(v<sub>1</sub>+v<sub>2</sub>).

tvuvTΔtΔvslope = aarea = displacement (s)

On a velocity-time graph for uniform acceleration, the slope of the line gives the acceleration and the shaded area under the line gives the displacement.

Concept context

Equations of motion, projectile motion, relative velocity. Foundation of all mechanics.

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