compute the average velocity in the following two cases: you walk 73.2m at a speed of 1.22m/s and then run 73.2m at a speed of 2.80m/s
figure time
time=73.3m/1.22m/s+73.2/2.80=86.2sec
avgvelocity=distance/time=146.4/86.2=1.70m/s
To compute the average velocity, we need to divide the total displacement by the total elapsed time.
In the first case, you walk 73.2m at a speed of 1.22m/s. Therefore, the time taken to walk is given by:
Time = Distance / Speed
Time = 73.2m / 1.22m/s
Time ≈ 60 seconds
In the second case, you run 73.2m at a speed of 2.80m/s. The time taken to run is:
Time = Distance / Speed
Time = 73.2m / 2.80m/s
Time ≈ 26 seconds
Now, we can calculate the average velocity for the two cases:
Average Velocity (Case 1) = Total Displacement / Total Time
Average Velocity (Case 1) = 73.2m / 60s
Average Velocity (Case 1) ≈ 1.22 m/s
Average Velocity (Case 2) = Total Displacement / Total Time
Average Velocity (Case 2) = 73.2m / 26s
Average Velocity (Case 2) ≈ 2.82 m/s
Therefore, the average velocity in the first case (walking) is approximately 1.22 m/s, and in the second case (running) is approximately 2.82 m/s.
To compute the average velocity, we need to divide the total displacement by the total time taken. In this case, we have two separate displacements with different speeds. Let's calculate the average velocity for each case:
Case 1: Walking
Distance = 73.2m
Speed = 1.22m/s
To find the time taken, we use the formula:
Time = Distance / Speed
Time = 73.2m / 1.22m/s
Time = 60 seconds (rounded to the nearest whole number)
Therefore, for the walking case, the time taken is 60 seconds.
Case 2: Running
Distance = 73.2m
Speed = 2.80m/s
Similarly, calculating the time taken:
Time = Distance / Speed
Time = 73.2m / 2.80m/s
Time = 26.1 seconds (rounded to one decimal place)
Now that we have both the displacements and the times, we can calculate the average velocities.
Average Velocity = Total Displacement / Total Time
Average Velocity = (Walking Displacement + Running Displacement) / (Walking Time + Running Time)
Average Velocity = (73.2m + 73.2m) / (60 seconds + 26.1 seconds)
Average Velocity = 146.4m / 86.1 seconds (rounded to two decimal places)
Average Velocity ≈ 1.70 m/s
Therefore, the average velocity for the given two cases is approximately 1.70 m/s.