#v(t)=int a(t) d t#
#v(t)=int (t-1)d t#
#v(t)=t^2/2-t+C#
#"for t=0 ; v=3 ; C=3"#
#v(t)=1/2 t^2-t+3#
#"1-Solution using ' the average value' theorem :" #
#v_a=1/(2-0) int _0^2(1/2t^2-t+3)#
#v_a=1/2[|1/2*t^3/3-1/2 t^2+3t|_0^2]#
#v_a=1/2[(1/2*2^3/3-1/2*2^2+3*2)-0]#
#v_a=1/2[4/3-2+6]#
#v_a=1/2[4/3+4]#
#v_a=1/2[16/3]#
#v_a=16/6#
#v_a=8/3" "m/s#
#"2-Solution using definition of average velocity" #
#v_a=(Delta x)/(Delta t)=("displacement")/("time")#
#Delta x=int _0^2 v(t) d t=int _0^2 (1/2t^2-t+3)d x#
#Delta x=[|1/2*1/3*t^3-1/2 t^2-3t|_0^2]=[(1/2*1/3*2^3-1/2*2^2+3*2)-0]#
#Delta x=4/3-2+6" ; "Delta x=4/3+4" ; "Delta x=16/3" "m#
#v_a=(16/3)/2#
#v_a=16/6 #
#v_a=8/3" "m/s#