A particle moves along positive branch of the curve, y=x2, where x=t33, x and y are measured in meters and t, in seconds, then

dxdt=t2   ........(i) y=12t33⇒dydt=t22  .........(ii) t=1,vx=1,vy=12⇒v→=i^+12j^ d2xdt2=2t  ........(iii) d2ydt2=t    ..........(iv)  At t=1s,ax=2  and  ay=1 ⇒ a→=2i^+j^