\f@ Find the distance traveled during the given time interval. Step 1 The velocity function is vt) = t2 + 4t 32, and so he distance traveled in the lime interval 0 5 t E 6 is 6 ENE" '95\" A. \"2 +4t 32| dr- v :l - 3 an is positive or negative. v(t)canbefactoredas {2+4t32=(t+' )(tI'f ). Remembering that |z| = , we must determine where v') = t2 + 41' 32 Step2 A product is positive whenever its factors are both positive or both negative. 1' + a and t 4 are both positive when t:> 4 and both negative when t