A man travels along a square path each side of length 100m with a velociy of 40m/s,50m/s,40m/s,50m/s respectively.calculate the average velocity.
To calculate the average velocity, we need to find the total displacement and divide it by the total time taken.
Step 1: Calculate the total displacement:
The man travels along a square path, so the total displacement is the sum of the displacements along each side of the square.
Displacement of the first side = 100m (since velocity is constant at 40m/s, and time = distance / velocity = 100m / 40m/s = 2.5s)
Displacement of the second side = 100m (since velocity is constant at 50m/s, and time = distance / velocity = 100m / 50m/s = 2s)
Displacement of the third side = -100m (since the man is moving in the opposite direction, velocity is constant at 40m/s, and time = distance / velocity = 100m / 40m/s = 2.5s)
Displacement of the fourth side = -100m (since the man is moving in the opposite direction, velocity is constant at 50m/s, and time = distance / velocity = 100m / 50m/s = 2s)
Total displacement = 100m + 100m + (-100m) + (-100m) = 0m
Step 2: Calculate the total time:
The total time is the sum of the times taken along each side of the square.
Time for the first side = 2.5s
Time for the second side = 2s
Time for the third side = 2.5s
Time for the fourth side = 2s
Total time = 2.5s + 2s + 2.5s + 2s = 9s
Step 3: Calculate the average velocity:
Average Velocity = Total Displacement / Total Time = 0m / 9s = 0 m/s
Therefore, the average velocity of the man traveling along the square path is 0 m/s.
To find the average velocity of the man traveling along the square path, you need to calculate the total displacement and divide it by the total time taken.
The total displacement can be found by adding up the individual displacements along each side of the square path. Since the direction of motion and displacement are the same, we can ignore the sign of the velocities.
The four sides of the square have lengths of 100m, 100m, 100m, and 100m, respectively. So, the total displacement is:
Total Displacement = 100m + 100m + 100m + 100m = 400m
Next, we need to calculate the total time taken. The time taken to travel each side can be found by dividing the length of the side by the velocity.
Time taken for the first side = 100m / 40m/s = 2.5s
Time taken for the second side = 100m / 50m/s = 2s
Time taken for the third side = 100m / 40m/s = 2.5s
Time taken for the fourth side = 100m / 50m/s = 2s
Total Time Taken = 2.5s + 2s + 2.5s + 2s = 9s
Now, we can find the average velocity by dividing the total displacement by the total time taken:
Average Velocity = Total Displacement / Total Time Taken
= 400m / 9s
= 44.44 m/s (rounded to two decimal places)
Therefore, the average velocity of the man traveling along the square path is 44.44 m/s.
ROFL
zero, went nowhere
Now average speed is another matter.