Question

The function​ s(t) represents the position of an object at time t moving along a line. Suppose s1=105 and s3=149. Find the average velocity of the object over the interval of time [1,3].

Answer 1

The average velocity is 22.

Explanation:

It is given that the function​ s(t) represents the position of an object at time t moving along a line.

If a position function is s(t), then the average velocity of the object over the interval of time [a,b] is

`\text{Average velocity}=(s(b)-s(a))/(b-a)`

The average velocity of the object over the interval of time [1,3] is

`\text{Average velocity}=(s(3)-s(1))/(3-1)`

`\text{Average velocity}=(s(3)-s(1))/(2)`

It is given that s(1)=105 and s(3)=149. Substitute these values in the above formula.

`\text{Average velocity}=(149-105)/(2)`

`\text{Average velocity}=(44)/(2)`

`\text{Average velocity}=22`

Therefore, the average velocity is 22.