A particle moves along a straight line. Its velocity decreases uniformly from 18 m s-1 at t=0t=0t=0 to zero at t=6t=6t=6 s, and then to -8 m s-1 at t=10t=10t=10 s. The velocity then increases uniformly, reaching 12 m s-1 at t=Tt=Tt=T s. The displacement of the particle in the first T T\,T seconds is 48 m.
Find TTT.
Find the total distance travelled in the first T T\,T seconds.
Find the average velocity of the particle in the first T T\,T seconds.