Question: A particle starts from the origin with uniform acceleration.Its dislacement after t seconds is given by the relation $${x=2+5t+7t^2}$$ Calculate the magnitude of its Solution: (1) Initial velocity: The displacement of the particle after t seconds is given by the relation $${x=2+5t+7t^2}$$ The velocity of the particle can be found by differentiating the dislacement…