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JEE Main202116 Mar 2021Evening ShiftPhysicsMotion in One DimensionActual

A mosquito is moving with a velocity v → = 0 . 5 t 2 i ^ + 3 t j ^ + 9 k ^ m s - 1 and accelerating in uniform conditions. What will be the direction of mosquitoes after 2 s ?

Options

  1. Atan - 1 2 3 from x -axis
  2. Btan - 1 85 6 from y -axis
  3. Ctan - 1 5 2 from y -axis
  4. Dtan - 1 5 2 from x -axis

Correct answer

B. tan - 1 85 6 from y -axis

Step-by-step solution

Given : v → = 0 . 5 t 2 i ^ + 3 t j ^ + 9 k ^ v → at   t = 2 = 2 i ^ + 6 j ^ + 9 k ^ ∴ Angle made by direction of motion of mosquito will be, cos - 1 2 11 (from x -axis) = tan - 1 117 2 cos - 1 6 11 (from y -axis) = tan - 1 85 6 cos - 1 9 11 (from z -axis) = tan - 1 40 9

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