A runner dashes from the starting line (x = 0) to a point 80 m away and then turns around and runs to a point 39 m away from the starting point in 23 seconds.What is the runner's average velocity in the previous problem?
Change in location (41 m) divided by time. Is 23 seconds the total time spent running or the time spent running back? You don't make that clear.
6.4
To find the runner's average velocity, we need to calculate the total displacement and divide it by the total time.
The total displacement is the difference between the final position and the initial position. In this case, the runner starts at x=0 and ends up at x=39, so the total displacement is 39 - 0 = 39 meters.
The total time is given as 23 seconds.
Dividing the total displacement by the total time, we get:
Average velocity = Total displacement / Total time
= 39 meters / 23 seconds
Now let's calculate the average velocity:
Average velocity = 39 m / 23 s
To get the numerical value, we divide 39 by 23 which gives us approximately 1.695 meters per second.
Therefore, the runner's average velocity in the previous problem is about 1.695 m/s.