What is the average velocity in the following cases? You run 77.9 m West at 2.67 m/s then walk for 133 s at 8.78 m/s West.
add the displacemetns.
West: 77.9m
West: 8.78m/s*133s=
Now add them.
avgvelocity=displacemetn/totaltime
To find the average velocity in this case, we need to consider the total displacement and the total time.
First, let's analyze the running part of the motion. The displacement while running is 77.9 m in the west direction at a speed of 2.67 m/s. To find the time it took to run, we divide the displacement (77.9 m) by the velocity (2.67 m/s), which gives us approximately 29.17 seconds.
Next, we consider the walking part of the motion. The displacement while walking is 0 m since there is no change in position. The time taken to walk is given as 133 s at a velocity of 8.78 m/s.
To calculate the total time, we add the time taken for running (29.17 s) and the time taken for walking (133 s), which gives us a total time of approximately 162.17 seconds.
Now we can calculate the total displacement. The total displacement is the sum of the displacements in each part, which is (77.9 m) + (0 m) = 77.9 m.
To find the average velocity, we divide the total displacement (77.9 m) by the total time (162.17 s):
Average velocity = Total displacement / Total time
Average velocity = 77.9 m / 162.17 s
Average velocity ≈ 0.480 m/s West
Therefore, the average velocity in this case is approximately 0.480 m/s to the west.