Most Important Selected Qs for JEE AdvancedPhysicsMotion in Two Dimensions
A particle moves along positive branch of the curve y= x 2 where x= t^3 3 , x and y are measured in metres and t in seconds, then
Options
- Athe velocity of particle at t=1 ~s is i + 1 2 j
- Bthe velocity of particle at t=1 ~s is 1 2 i + j
- Cthe acceleration of particle at t=1 ~s is 2 i + j
- Dthe acceleration of particle at t=2 s is i +2 j
Correct answer
B. the velocity of particle at t=1 ~s is 1 2 i + j
Step-by-step solution
dx dt = t ^2 ....(i) y= 1 2 t^3 3 d y d t = t^2 2 ....(ii) t=1, v_x=1, v_y= 1 2 v = i + 1 2 j d^2 x d t^2 =2 t ....(iii) d^2 y d t^2 =t ....(iv) at t =1 ~s a _ x =2 and a _ y =1 a =2 i + j