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

A particle starts from rest with uniform acceleration. The ratio of the distance covered in the 5th second to that covered in the 1st second is:

Answer: 9:1.

  • A 5:1
  • B 9:1
  • C 25:1
  • D 3:1

Correct answer: B. 9:1

Explanation: Distance in nth second ∝ (2n − 1), so ratio = (2·5 − 1):(2·1 − 1) = 9:1.

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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