MHT CET202416 May 2024Morning ShiftPhysicsMotion in One DimensionActual
The co-ordinates of a moving particle at any time ' t ' are given by x= t ^3 and y= t ^3 where and are constants. The speed of the particle at time ' t ' is given by
Options
- At ^2+ ^2
- B3 t ^2+ ^2
- Ct^2 ^2+ ^2
- D3 t ^2 ^2+ ^2
Correct answer
D. 3 t ^2 ^2+ ^2
Step-by-step solution
aligned & X= t^3 i + t^3 j & aligned V= d X d t =3 t^2 i & +3 t^2 j Magnitude of V & = (3 t^2 )^2+ (3 t^2 )^2 & = 9 ^2 t^4+9 ^2 t^4 & = 9 t^4 ( ^2+ ^2 ) & =3 t^2 ^2+ ^2 aligned aligned