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AIIMS2017PhysicsMotion in Two Dimensions

A projectile is given an initial velocity of i +2 j . The cartesian equation of its path is (Take g=10 ~m ~s ⁻² )

Options

  1. Ay=x-5 x^2
  2. By=2 x-5 x^2
  3. Cy=2 x-15 x^2
  4. Dy=2 x-25 x^2

Correct answer

B. y=2 x-5 x^2

Step-by-step solution

Given, u = i +2 j =u_x i +u_y j Then u_x=1=u and u_y=2=u = u u = 2 1 =2 The equation of trajectory of a projectile motion is aligned & y=x - g x^2 2 u^2 ^2 =x - g x^2 2(u )^2 & y=x 2- 10 x^2 2(1)^2 =2 x-5 x^2 aligned

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