The coordinates of a moving particle at any time 't' are given by x=at2 and y=bt3.The speed of the particle at time 't' is given by

x = at2 , y = bt3so ,Velocity in x direction , Vx =dxdt=2atVelocity in y direction , Vy =dydt=3bt2So , net velocity , V =V2x+V2y=4at2+9b2t4

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