Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET2017PhysicsMotion in Two DimensionsActual

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

Practice Motion in Two Dimensions on Quantrex Academy →

More from Motion in Two Dimensions

A particle moving with uniform speed in a circular path maintains: 2024A bob is whirled in a horizontal plane by means of a string with an initial speed of rpm. The tension in the string is T . If speed becomes 2 while keeping the same radius, the ten 2024A particle is executing uniform circular motion with velocity v and acceleration a . Which of the following is true? 2023A ball is projected from point A with velocity 20 ~m ~s ⁻¹ at an angle 60^ to the horizontal direction. At the highest point B of the path (as shown in figure), the velocity v ~m ~ 2023A bullet is fired from a gun at the speed of   280   m   s - 1 in the direction 30 ° above the horizontal. The maximum height attained by the bullet is ( g = 9 2023A constant torque of 100 ~N ~m turns a wheel of moment of inertia 300 ~kg ~m ^2 about an axis passing through its centre. Starting from rest, its angular velocity after 3 ~s is 2023A ball is projected with a velocity, 10   m   s - 1 , at an angle of 60 ° with the vertical direction. Its speed at the highest point of its trajectory will be 2022A cricket ball is thrown by a player at a speed of 20 ~m / s in a direction 30^ above the horizontal. The maximum height attained by the ball during its motion is (g=10 ~m / s ^2 ) 2022 Full Motion in Two Dimensions list All NEET PYQs