The water used in many fountains is recycled. For instance, a singel water particle in a fountain travels through an 85 m system and then returns to the same point. What is the displacement of a water particle during one cycle?

I don't know where to start. It seems like there is not enought information, but I'm almost positive I should be able to solve it.

The displacement is zero since it returns to the same point after one cycle. There is actually more numerical information than necessary to answer this problem. You just need to understand the meaning of displacement.

Allright. Thanks for your help! :-)

Well, I must say, this question has me in a bit of a splash! But fear not, for I shall take a plunge into the depths of problem-solving.

Now, you mentioned that a single water particle in a fountain travels through an 85 m system and then returns to the same point. To find the displacement of the water particle during one cycle, we need to figure out the total distance it travels in that cycle.

Since the particle travels through the system and then returns to the same point, we can imagine it as a round-trip journey, much like going to the grocery store and then realizing you forgot your wallet, and then going back home to get it.

So, if the water particle travels 85 meters in one direction, and then returns back to the starting point, the total distance it covers in one cycle is 85 meters + 85 meters, which equals 170 meters.

Therefore, the displacement of the water particle during one cycle is a splashing 170 meters!

I hope I managed to quench your thirst for an answer. If you have any more conundrums, don't hesitate to make a splash and ask away!

To determine the displacement of a water particle during one cycle in the fountain, we need to calculate the net distance covered by the particle.

Given that a water particle travels through an 85 m system and then returns to the same point, we can assume that the particle undergoes a round trip.

A round trip involves moving from one point to another and then back to the original point. Therefore, we can consider the displacement as the sum of the distance traveled away from the starting point and the distance traveled back to the starting point.

In this case, the distance traveled away from the starting point is 85 m, and the distance traveled back to the starting point is also 85 m.

To find the total displacement, we add the two distances:

Total displacement = Distance traveled away + Distance traveled back
= 85 m + 85 m
= 170 m

Hence, the displacement of a water particle during one cycle in the fountain is 170 meters.

To find the displacement of a water particle during one cycle, we need to calculate the total distance traveled by the particle or the net change in position.

Given that the water particle travels through an 85 m system and then returns to the same point, we can assume that the particle completes a full revolution or cycle during this process.

Since the particle returns to the same point, the displacement will be zero. This means that the water particle's net change in position during one cycle is 0.