A student from Pavón High School is in room A1 (red dot) when you decide to go out to the Oxxo to buy a refreshing drink. Their displacements are shown in the following table: a) The displacement vector of the student's total movement. (Your answer must be in polar and Cartesian coordinates) b) If the student took 1 minute on each journey, determine the velocity vectors for each path. (in polar coordinates) c) From the displacement vector and knowing that the student took 5 minutes in total travel, determine the velocity vector. (in coordinates polar and Cartesian) d) After going to the Oxxo, he meets his friends in the restaurant-bar: "La Chopería". At a certain moment, he sees his parents go by in the direction of his home. If the distance between La chopería and the student's house is 15 km and its parents travel at 35 km / h, at what speed must the student travel to arrive 1 minute before their parents? e) Once at home, the student realized that he forgot his backpack in the prepa. He asks a friend to please bring it to his house. If the student walking at 1 m / s and your friend at 4 km / h, how far from high school is will they find? Consider the distance between the high school and the student's home from 15.5 km.

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Question

A student from Pavón High School is in room A1 (red dot) when you decide to go out to the Oxxo to buy a refreshing drink. Their displacements are shown in the following table:

a) The displacement vector of the student's total movement. (Your answer must be in polar and Cartesian coordinates)

b) If the student took 1 minute on each journey, determine the velocity vectors for each path. (in polar coordinates)

c) From the displacement vector and knowing that the student took 5 minutes in total travel, determine the velocity vector. (in coordinates polar and Cartesian)

d) After going to the Oxxo, he meets his friends in the restaurant-bar: "La Chopería". At a certain moment, he sees his parents go by in the direction of his home. If the distance between La chopería and the student's house is 15 km and its parents travel at 35 km / h, at what speed must the student travel to arrive 1 minute before their parents?

e) Once at home, the student realized that he forgot his backpack in the prepa. He asks a friend to please bring it to his house. If the student walking at 1 m / s and your friend at 4 km / h, how far from high school is will they find? Consider the distance between the high school and the student's home from 15.5 km.

del Estado
de Morelos:.
Cerrado
temporalmente
Xochicalco
Xochicalco
Prefeco Temixco
Xochicalco
Preparatoria Federal
por Cooperación José.
Vz
Crepas javis
Comida para llevar
A domiclio
C.FE. mático
Plutarco Elias Cal
Tienda Six
Servicar Temixco
Dirección General
de Administración y.
Оххо
Tienda de alimentación
Plaza el Guaje
Centro comercial
Municipio de Temixco
tachicals

V2
(48 m, 255º)
V3
vs
(36 m, 337º)
(40 m, 285º)
(80 m, 333º)
(60 m, 216º)

Expert Solution

Step 1

Solution:

The position vector can be written as.

$r_{1} = 36 \cos 37 ° \hat{x} + 36 \sin 37 ° (- \hat{y}) r_{2} = 48 \cos 15 ° (- \hat{y}) + 48 \sin 15 ° (- \hat{x}) r_{3} = 40 \cos 15 ° (- \hat{y}) + 40 \sin 15 ° (\hat{x}) r_{4} = 80 \cos 33 ° \hat{x} + 80 \sin 33 ° (- \hat{y}) r_{2} = 60 \cos 36 ° (- \hat{x}) + 60 \sin 36 ° (- \hat{y})$

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