Question

The function​ s(t) represents the position of an object at time t moving along a line. Suppose s (3 )equals 156 and s (6 )equals 216. Find the average velocity of the object over the interval of time [3 comma 6 ].

Answer 1

Answer: The average velocity of the object over the time interval [3,6] is 20.

Explanation:

Since we have given that

s(3) = 156

s(6) = 216

We need to find the average velocity over the time interval [3,6].

So, average velocity becomes

`(s(t_1)-s(t_0))/(t_1-t_0)\\\\=(s(6)-s(3))/(6-3)\\\\=(216-156)/(3)\\\\=(60)/(3)\\\\=20`

Hence, the average velocity of the object over the time interval [3,6] is 20.