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

Answer:

The average velocity is 22.

Step-by-step 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

$\text{Average velocity}=\dfrac{s(b)-s(a)}{b-a}$

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

$\text{Average velocity}=\dfrac{s(3)-s(1)}{3-1}$

$\text{Average velocity}=\dfrac{s(3)-s(1)}{2}$

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

$\text{Average velocity}=\dfrac{149-105}{2}$

$\text{Average velocity}=\dfrac{44}{2}$

$\text{Average velocity}=22$

Therefore, the average velocity is 22.