Question

The function​ s(t) represents the position of an object at time t moving along a line. Suppose s( 1 )=123 and s( 3 )=173. Find the average velocity of the object over the interval of time [1,3]?

Answer 1

The average velocity is
`v_(average)=25`.

Step-by-step explanation:

The average velocity is calculated in the following way:

If
`s(t)` represents the position of an object at time
`t`,

and
`s(t_(1))=a` ;
`s(t_(2))=b`, the average velocity is defined in that interval as:

`v_(average)= (final.position-initial.position)/(elapsed.time)=(b-a)/(t_(2)-t_(1))`

Taking the data from the question:

`v_(average)=(173-123)/(3-1)=(50)/(2)=25`.