COMEDK2020PhysicsMotion in One Dimension
A particle starts moving from point (2,10,1) . Displacement for the particle is 8 i -2 j + k . The final coordinates of the particle is
Options
- A(10,8,2)
- B(8,10,2)
- C(2,10,8)
- D(8,2,10)
Correct answer
A. (10,8,2)
Step-by-step solution
Position vector of starting point (2,10,1) of particle is given as r ₁=2 i +10 j + k If final co-ordinate of the particle be (x, y, z) , then its position vector gathered r ₂=x i +y j +z k Displacement, r = r ₂- r ₁ 8 i -2 j + k =x i +y j +z k -(2 i +10 j + k ) 8 i -2 j + k =(x-2) i +(y-10) j +(z-1) k gathered Comparing the coefficients of i , j and k , we get aligned & x-2=8, y-10=-2, z-1=1 & x=10, y=8, z=2 aligned Final co-ordinate =(10,8,2)