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

Answer:

The average velocity is $v_{average}=25$.

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:

$v_{average}= \frac{final.position-initial.position}{elapsed.time}=\frac{b-a}{t_{2}-t_{1}}$

Taking the data from the question:

$v_{average}=\frac{173-123}{3-1}=\frac{50}{2}=25$.