A particle of mass 1.5kg moves in a straight line through a fixed point O. At time ts after passing through O the distance of P from O is xcm and the force acting on P has magnitude (3x+6)N and is direced away from O. Given that P passes through the point O with speed 2(2^0.5)m/s, caculate:

a) the speed of P when x=5; thispart of the question I was able to do using intergration and obtained the correct answer of 9.90m/s.

b) the value of t when x=20. I don't know how to do this part of the question, though I assume calculus is needed once again. Can someone enlighten me please?