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JEE Main20246 Apr 2024Evening ShiftPhysicsMotion in One DimensionActual

A body projected vertically upwards with a certain speed from the top of a tower reaches the ground in t₁ . If it is projected vertically downwards from the same point with the same speed, it reaches the ground in t₂ . Time required to reach the ground, if it is dropped from the top of the tower, is :

Options

  1. At₁ t₂
  2. Bt₁+t₂
  3. Ct₁-t₂
  4. Dt₁ t₂

Correct answer

A. t₁ t₂

Step-by-step solution

aligned & t ₁= u + u ^2+2 gh g & t ₂= - u + u ^2+2 gh g & t = 2 gh g & t ₁ t ₂= ( u ^2+2 gh )- u ^2 ~g ^2 = 2 gh g ^2 = t ^2 & t = t ₁ t ₂ aligned

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