What if the acceleration is not constant? A particle starts from the origin with velocity 6i m/s at t = 0 and moves in the xy plane with a varying acceleration given by a = (2?tj) m/s2, where t is in s. Answer the following using t as t as necessary.
(a) Determine the vector velocity of the particle as a function of time.
v(t) = ( i+ j) m/s
(b) Determine the position of the particle as a function of time.
r(t) = ( i+ j) m