A particle P P\,P moves on the x x\,x axis. The acceleration of P P\,P at time t t\,t seconds, t≥0t \geq 0t≥0, is (3t+5) m s−2(3t + 5) \text{ m s}^{-2}(3t+5) m s−2 in the positive x x\,x direction. When t=0t = 0t=0, the velocity of P P\,P is 2 m s-1 in the positive x x\,x direction. When t=Tt = Tt=T, the velocity of P P\,P is 6 m s-1 in the positive x x\,x direction.
Find the value of TTT.