Question

The displacement (in meters) of a particle moving in a straight line is given by s = t^2 − 9t + 16, where t is measured in seconds.
Find the average velocity over each time interval [3, 4]

Answer 1

"displacement (in meters) of a particle moving" <--- otherwise known as VELOCITY

so the velocity is "s", and given as \(\bf s = t^2 − 9t + 16\)

if you want to know the "average", you'd need to get several values and sum t hem, and then divide by their quantity

so you were given a time interval [3, 4] that is, 3 seconds through 4 seconds

so, x = 3 and x =4, find "s" for that, to get a velocity
the average will be their sum divided by 2