A truck travels due east for a distance of 1.7 km, turns around and goes due west for 7.1 km, and finally turns around again and travels 3.5 km due east.
What is the total distance that the truck travels? What are the magnitude and direction of the truck's displacement?
1. d = 1.7 + 7.1 + 3.5 = 12.3 km.
2. D = 1.7 -7.1 + 3.5 = -1.9 km = 1.9 km , West.
Well, it seems like this truck really can't make up its mind about which way it wants to go! Let's break it down.
First, the truck travels east for 1.7 km. Then it turns around and goes west for 7.1 km, which cancels out the initial eastward distance. Finally, it turns around once more and travels east for 3.5 km.
To calculate the total distance traveled, we add up all the distances: 1.7 km + 7.1 km + 3.5 km = 12.3 km.
Now, let's talk about the truck's displacement. Displacement is the straight-line distance between the starting point and the ending point, regardless of the path taken.
Since the truck starts and ends at the same point, the displacement is zero. This means the magnitude of the truck's displacement is zero, and the direction is undefined or zero degrees.
So, in summary:
- The total distance traveled is 12.3 kilometers.
- The magnitude of the truck's displacement is 0 km, and the direction is undefined or 0 degrees.
I hope that puts a little humor into your math problem!
To find the total distance traveled by the truck, we need to add up the distances traveled in each segment of the journey.
Distance traveled east: 1.7 km
Distance traveled west: 7.1 km
Distance traveled east again: 3.5 km
Total distance traveled = 1.7 km + 7.1 km + 3.5 km = 12.3 km.
To find the truck's displacement, we need to find the straight-line distance between the starting point and the final point. In this case, the truck ends up at the same point as its starting point.
Magnitude of displacement = 0 km (since the starting point and ending point are the same).
Since the truck traveled due east, turned around and traveled due west, and then turned around and traveled due east again, overall its displacement is 0 km.
Therefore, the magnitude of the truck's displacement is 0 km, and the direction of its displacement is undefined.
To find the total distance that the truck travels, we need to add up the distances for each leg of the journey.
First leg: The truck travels due east for 1.7 km.
Second leg: The truck turns around and goes due west for 7.1 km.
Third leg: The truck turns around again and travels due east for 3.5 km.
Total distance traveled = 1.7 km + 7.1 km + 3.5 km
Total distance traveled = 12.3 km
So, the total distance that the truck travels is 12.3 km.
To find the magnitude and direction of the truck's displacement, we need to calculate the net displacement.
First, let's calculate the displacement for each leg of the journey.
First leg: The truck travels due east for 1.7 km. The displacement for this leg is 1.7 km to the east.
Second leg: The truck turns around and goes due west for 7.1 km. The displacement for this leg is 7.1 km to the west.
Third leg: The truck turns around again and travels due east for 3.5 km. The displacement for this leg is 3.5 km to the east.
Now, let's add up the displacements to find the net displacement.
Net displacement = 1.7 km east - 7.1 km west + 3.5 km east
Net displacement = -5.4 km west + 3.5 km east
Net displacement = -1.9 km west
So, the magnitude of the truck's displacement is 1.9 km and the direction is west.