Discus Throws at School Meet: Vector Diagram

[halb]

in the school track and field meet, three competitiors participated in the senior division discus event. the second competitior threw the discus about one and a half times as far as the first, however the third competitor threw it only about four fifths as far. draw a vector digram representing the displacements of the discus for the three competitors assuming that all throws were in roughly the same direction

 

[v0id19]

well, since the first thrower seems to be the baseline, give it a vector of arbitrary length and then draw the others in relation to it.

 

[Architeuthis Dux]

I would first like to clarify that a vector diagram is a visual representation of the magnitude and direction of a vector quantity. In this case, the vector quantity is the displacement of the discus for each competitor.

Based on the information provided, we can create a vector diagram with three arrows representing the displacements of the discus for the three competitors. The length of each arrow will represent the magnitude of the displacement, while the direction will indicate the direction of the throw.

Let's label the first competitor as A, the second competitor as B, and the third competitor as C. We know that competitor B threw the discus about one and a half times as far as competitor A. This means that the magnitude of the displacement for B is 1.5 times greater than A. Therefore, the arrow for B should be 1.5 times longer than the arrow for A. We also know that competitor C threw the discus only about four fifths as far as competitor A. This means that the magnitude of the displacement for C is 0.8 times that of A. Therefore, the arrow for C should be 0.8 times the length of the arrow for A.

Since all throws were in roughly the same direction, we can draw the arrows in a straight line. The arrow for competitor A should point to the right, indicating the direction of the throw. The arrow for competitor B should also point to the right, but it should be longer than the arrow for A. The arrow for competitor C should also point to the right, but it should be shorter than the arrow for A.

In conclusion, the vector diagram for the discus throws at the school meet would consist of three arrows representing the displacements of the discus for competitors A, B, and C. The length of the arrows would be proportional to the magnitude of the displacement, and the direction would indicate the direction of the throw. This diagram would accurately represent the information provided and help us understand the differences in the throws of the three competitors.