(i) `v=3t-2t^(2)`
`v_(1)=3xx1-2^(2)=-1m//s`
(ii) `v_(av)=(x_(5)-x_(0))/(5-0)." Now, "v=(dx)/(dt) rArr dx = vdt rArr int_(x_(0))^(x_(5))dx= int_(0)^(5)3tdt- int_(0)^(5)2t^(2)dt`
`rArr x_(5)-x_(0)=3((t^(2))/(2))_(0)^(5)-2((t^(3))/(3))_(0)^(5)=(75)/(2)-(250)/(3)`
`v_(av)=(x_(5)-x_(0))/(5-0)=-(275)/(5xx6)=-(55)/(6)m//s.`