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

A body thrown vertically upward returns to the ground after 6 s. The maximum height it reaches is (g = 10 m s<sup>-2</sup>):

Answer: 45 m.

  • A 30 m
  • B 45 m
  • C 60 m
  • D 90 m

Correct answer: B. 45 m

Explanation: Time to the top = 3 s, so initial speed u = g × 3 = 30 m s<sup>-1</sup>. Maximum height = u<sup>2</sup>/(2g) = 900/20 = 45 m.

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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