Word Problems for Distance and Displacement
1. A Truck travels to and from a stone quarry that is located 2.5 km to the east
What is the total distance traveled by the truck?
What is it's Displacement?_____
Explain through diagram:
2. A whale swims due to east for a distance of 7km, turns around and goes due to west for 2km, and finally turns around again and heads 4km due west
What is the total distance traveled by the whale?_____
What is the Displacement of the whale?____ Explain through diagram:
3. A football coach paces back and forth along the sidelines during a close rivalry game. The diagram shows several of the coach's positions and various time. At each marked positions the coach makes a "U-turn" and moves in the opposite direction. In other words, the coach moves from position A to B to C to D
What is the total distance that the coach traveled?_____
What is the coach's final displacement?____
Yung Picture po ay para sa number 3
Question Dapat po maayos ayoko po magpaulit-ulit Ng tanong dito. Nahihirapan po ako
Pasagot na po ipapasa ko na po Ito mamaya
1. A Truck travels to and from a stone quarry that is located 2.5 km to the east
What is the total distance traveled by the truck?
What is it's Displacement?_____
Explain through diagram:
2. A whale swims due to east for a distance of 7km, turns around and goes due to west for 2km, and finally turns around again and heads 4km due west
What is the total distance traveled by the whale?_____
What is the Displacement of the whale?____ Explain through diagram:
3. A football coach paces back and forth along the sidelines during a close rivalry game. The diagram shows several of the coach's positions and various time. At each marked positions the coach makes a "U-turn" and moves in the opposite direction. In other words, the coach moves from position A to B to C to D
What is the total distance that the coach traveled?_____
What is the coach's final displacement?____
Yung Picture po ay para sa number 3
Question Dapat po maayos ayoko po magpaulit-ulit Ng tanong dito. Nahihirapan po ako
Pasagot na po ipapasa ko na po Ito mamaya
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Answer:
For the first problem, the truck travels 2.5 km to the east to reach the quarry, and then it travels the same distance (2.5 km) back to the starting point. The total distance traveled by the truck is 2.5 km + 2.5 km = 5 km. The displacement of the truck is 0 km, because the truck returns to its starting point and has not changed its position with respect to a fixed reference point. A diagram of this situation might show the truck moving 2.5 km to the right (east) and then 2.5 km to the left (west), with the truck returning to its original starting point.
For the second problem, the whale swims 7 km due east, turns around and goes 2 km due west, and then turns around again and heads 4 km due west. The total distance traveled by the whale is 7 km + 2 km + 4 km = 13 km. The displacement of the whale is 4 km west, because this is the final change in position with respect to a fixed reference point. A diagram of this situation might show the whale starting at the origin, moving 7 km to the right (east), then 2 km to the left (west), and finally 4 km to the left (west), with the whale ending up 4 km to the left of the starting point.
For the third problem, The total distance traveled by the coach is the sum of all the distances between the different positions. It would be helpful to draw a line connecting all position A to B, B to C and so on, that would help to measure the coach distance traveled. The coach's final displacement is the change in position with respect to a fixed reference point. It could be measured by the distance between the initial position A and final position D. The answers to these two questions depend on the specific distances between the different positions in the diagram you have provided, which is not available.
Please let me know if you have any other question.