Question

a particle starts from origin whose velocity is given by v = 3t2 the positon of paricle after 2 sec is

Answer 1

Answer :

Velocity of particle starting from origin is given by

• v = 3t²

We have to find position of particle from origin after 2 seconds$.$

We know that, Instantaneous velocity of particle is given by

• v = dx/dt

Therefore,

➝ dx = v dt

➝ dx = (3t²) dt

Integrating on both sides, we get

➝ x = 3t³/3

➝ x = t³

Hence, position of particle from origin after t seconds is x = t³

◈ Position of particle after 2s :

⇒ x = t³

⇒ x = 2³

⇒ x = 8m