A forklift driver at the Acme W&W warehouse drives a forklift from the main entrance to a loading dock 20m away. He then turns back towards the entrance and drives 13m to pick up a pallet of equipment. Finally, he turns back towards the loading dock, drives 10m and deposits the pallet in a holding area. the entire operation took the driver 45 seconds. what is the average speed of the forklift during this operation? what is the average velocity of the forklift?
total distance covered: 20+13+10=43m
total time: 45s
avg speed: 43/45 = 0.96 m/s
final displacement: 20-13+10 = 17m
avg velocity: 0.38 m/s away from entrance
To find the average speed of the forklift during the operation, we need to calculate the total distance traveled by the forklift divided by the total time taken.
Total distance = distance from entrance to loading dock + distance from loading dock to pallet + distance from pallet to holding area
= 20m + 13m + 10m
= 43m
Total time = 45 seconds
Average speed = Total distance / Total time
= 43m / 45s
≈ 0.956 m/s
Therefore, the average speed of the forklift during this operation is approximately 0.956 m/s.
To find the average velocity of the forklift, we need to consider both the magnitude and direction of the displacement.
The displacement is the straight line distance from the starting point to the destination, which is the distance from the entrance to the holding area.
Displacement = 20m - 10m
= 10m
Total time = 45 seconds
Average velocity = Displacement / Total time
= 10m / 45s
≈ 0.222 m/s
Therefore, the average velocity of the forklift during this operation is approximately 0.222 m/s.
To find the average speed of the forklift during this operation, we need to calculate the total distance traveled and divide it by the total time taken.
First, let's calculate the total distance traveled. The forklift goes from the main entrance to the loading dock (20m), then turns back and goes to pick up the pallet (13m), and finally turns back and goes to deposit the pallet (10m). So the total distance traveled is 20m + 13m + 10m = 43m.
Next, we'll calculate the time taken. The entire operation took the driver 45 seconds.
To find the average speed, we divide the total distance by the total time:
Average speed = Total distance / Total time
Average speed = 43m / 45s
Now let's calculate the average velocity of the forklift. Velocity considers both the speed and direction of an object. The average velocity is the displacement divided by the time taken.
The displacement of an object is the difference between its initial position and final position. Here, the forklift starts at the main entrance and ends at the holding area. The displacement has both distance and direction.
The distance traveled from the main entrance to the loading dock is 20m, and the distance traveled from the loading dock to the holding area is 10m. So the total displacement is 20m - 10m = 10m.
Now we divide the displacement by the time taken to find the average velocity:
Average velocity = Displacement / Total time
Average velocity = 10m / 45s
So, to summarize:
- The average speed of the forklift during this operation is 43m / 45s.
- The average velocity of the forklift is 10m / 45s.