The position of an object moving along a line is given by th

The position of an object moving along a line is given by the function s(t) = -4.9t2 + 28t+ 23. Find the average velocity of the object over the following intervals. [0,8] [0,7] [0,6] [0,h], where h > 0 is any real number The average velocity of the object over the interval [0,8] is . The average velocity of the object over the interval [0,7] is . The average velocity of the object over the interval [0,6] is . The average velocity of the object over the interval [0,h] is .

Solution

s(t)=-49t^2+28t+23 s(0)=23 s(8)=-2889 So avg vel over[0,8]=-2889-23/8=-364. s(0)=23 s(7)=-2182 So avg vel over[0,7]=-2182-23/7=-315. s(0)=23 s(7)=-1573 So avg vel over[0,6]=-1573-23/6=-266.