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99 Percentile Qs Bank for JEE MainPhysicsMotion in Two Dimensions

The equation of motion of a projectile are given by x = 36   t metre and 2   y = 96   t - 9 . 8   t 2 metre. The angle of projection is

Options

  1. Asin - 1 4 5
  2. Bsin - 1 3 5
  3. Csin - 1 4 3
  4. Dsin - 1 3 4

Correct answer

A. sin - 1 4 5

Step-by-step solution

x = 36   t ∴       v x = d x d t = 36   m   s - 1 y = 48   t - 4 . 9   t 2 ∴       v y = 48 - 9 . 8   t at t = 0 and v y = 48   m   s - 1 So, angle of projection θ = tan - 1   v y v x = tan - 1   4 3 Or θ = sin - 1   ( 4 / 5 )

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