you walk 95.0 m at a speed of 1.26 m/s and then run 95.0 m at a speed of 3.61 m/s. what is the average velocity?
total time = 95/1.26 + 95/3.61
total distance = 95+95
average speed
= total distance/total time
time = distance/speed( m / m/s = s)
avg velocity is
totaldistance/totaltime
so, that gives
(95.0+95.0)/(95.0/1.26 + 95.0/3.61)
To find the average velocity, you need to calculate the total displacement and divide it by the total time taken.
Let's first calculate the time taken for each part of the motion:
For walking:
Distance = 95.0 m
Speed = 1.26 m/s
Using the formula: time = distance / speed
time = 95.0 m / 1.26 m/s
time ≈ 75.4 s
For running:
Distance = 95.0 m
Speed = 3.61 m/s
Using the formula: time = distance / speed
time = 95.0 m / 3.61 m/s
time ≈ 26.3 s
Now, let's calculate the total displacement by considering the direction:
Since you walked and ran in the same direction, the displacements add up:
Total displacement = displacement from walking + displacement from running
Total displacement = 95.0 m + 95.0 m = 190.0 m
Now, let's calculate the total time taken:
Total time taken = time taken for walking + time taken for running
Total time taken = 75.4 s + 26.3 s = 101.7 s
Finally, to find the average velocity, divide the total displacement by the total time taken:
Average velocity = Total displacement / Total time taken
Average velocity = 190.0 m / 101.7 s
Average velocity ≈ 1.867 m/s
Therefore, the average velocity for the entire motion is approximately 1.867 m/s.