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

For uniformly accelerated motion, a body covers 40 m in the 4th second and 60 m in the 6th second. The acceleration is:

Answer: 10 m s -2.

  • A 5 m s<sup>-2</sup>
  • B 8 m s<sup>-2</sup>
  • C 10 m s<sup>-2</sup>
  • D 12 m s<sup>-2</sup>

Correct answer: C. 10 m s<sup>-2</sup>

Explanation: Using s<sub>n</sub> = u + (a/2)(2n-1): s<sub>4</sub> = u + 3.5a = 40, s<sub>6</sub> = u + 5.5a = 60. Subtracting gives 2a = 20, so a = 10 m s<sup>-2</sup>.

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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