Answer + Full Solution Please!

A particle is moving along the x-axis with the acceleration function a(t)=2t8. Given that at the moment t=2 the velocity is 3 and that at the moment t=7 the position of particle on the x-axis is 1, find:

a) The velocity function v(t) =

b) The position function x(t) = c) The change in velocity over the interval [2,7] is v =

d) The displacement over the interval [2,7] is x=

e) The total distance traveled over the interval [2,7] is TDT=