The position vector of a point is given by, r=(4/3t^3-2t)i+t^2j. Find the velocity and acceleration of the point at t=3sec. [The distance is measured in meters]

Here the position vector of the point is given by,   So the velocity is  Now, at t=3sec. So the magnitude of the velocity is, Again we know that acceleration…

Continue ReadingThe position vector of a point is given by, r=(4/3t^3-2t)i+t^2j. Find the velocity and acceleration of the point at t=3sec. [The distance is measured in meters]

The velocity of a moving particle at any instant of time is given by, v=2i+5tj+(1/t)k. Find the position vector of that particle at that instant of time.

The velocity of the moving particle is given by, Since the velocity is the time derivative of the position vector  , then we can write, where, is a constant.

Continue ReadingThe velocity of a moving particle at any instant of time is given by, v=2i+5tj+(1/t)k. Find the position vector of that particle at that instant of time.