JEE Main20244 Apr 2024Morning ShiftPhysicsMotion in Two DimensionsActual
The co-ordinates of a particle moving in x-y plane are given by : x=2+4 t , y=3 t +8 t ^2 . The motion of the particle is :
Options
- Auniformly accelerated having motion along a parabolic path.
- Buniform motion along a straight line.
- Cuniformly accelerated having motion along a straight line.
- Dnon-uniformly accelerated.
Correct answer
A. uniformly accelerated having motion along a parabolic path.
Step-by-step solution
aligned & x=2+4 t & d x d t =v_x=4 & d v_x d t =a_x=0 & y=3 t+8 t^2 & d y d t =v_y=3+16 t & d v_y d t =a_y=16 aligned the motion will be uniformly accelerated motion. For path aligned & x =2+4 t & ( x -2) 4 = t aligned Put this value of t is equation of yy=3 ( x-2 4 )+8 ( x-2 4 )^2 this is a quadratic equation so path will be parabola.