#"Strategy..."#
#diamond " find v(t) function"#
#diamond" use average value theorem"#
#diamond" --> "v(t)=int a(t) d t#
#v(t)=int (4t-8)d t#
#v(t)=4*1/2*t^2-8*t#
#v(t)=2t^2-8t+C#
#"for "t=0" ; " v=18" "m/s" ; ""then "C=18#
#v(t)=2t^2-8t+18#
#diamond" -->"v_a=1/(2-0)int_0^2v(t) d t#
#v_a=1/2int_0^2 (2t^2-8t+18)d t#
#v_a=1/2[|2*1/3*t^3-8*1/2*t^2+18*t|_0^2]#
#v_a=1/2[|2/3t^3-4t^2+18t|_0^2]#
#v_a=1/2[(2/3*2^3-8*2^2+18*2)-(0)]#
#v_a=1/2[16/3-32+36]#
#v=a=1/2[16/3+4]=1/2[(16+12)/4]=1/2[28/4]=1/2*7#
#v_a=3.5" "m/s#