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JEE Main2003PhysicsMotion in One DimensionActual

The co-ordinates of a moving particle at any time ' t ' are given by x= t^3 and y= t^3 . The speed of the particle at time ' t ' is given by

Options

  1. A3 t ^2+ ^2
  2. B3 t^2 ^2+ ^2
  3. Ct ^2 ^2+ ^2
  4. D^2+ ^2

Correct answer

B. 3 t^2 ^2+ ^2

Step-by-step solution

V_x= d x d t =3 t^2, V_y= d y d t =3 t^2 v = V _ x ^2 + V _ y ^2 =3 t ^2 ^2+ ^2

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