1. Express the two locations of the hot air balloon in polar coordinates. Is the hot air balloon in violation of the airport air space at either of these locations? Explain. 2. Determine the rectangular coordinates of the hot air balloon at time t = 90 minutes. State the meaning of this answer in the context of the problem. points) 3. The hot air balloon crashes 6 miles east and south of the air traffic controller's tower. Determine the distance the balloon is from the control tower and if it has violated the airport air space. Justify your answer. 23 points)

1. Express the two locations of the hot air balloon in polar coordinates. Is the hot air balloon in violation of the airport air space at either of these locations? Explain. 2. Determine the rectangular coordinates of the hot air balloon at time t = 90 minutes. State the meaning of this answer in the context of the problem. points) 3. The hot air balloon crashes 6 miles east and south of the air traffic controller's tower. Determine the distance the balloon is from the control tower and if it has violated the airport air space. Justify your answer. 23 points)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

A hot air balloon appears as a blip on the air traffic controller's radar screen. Hot air balloons are prohibited
from flying within 25 miles radius of the airport. The polar grid shows the air traffic controller tracking the
hot air balloon. (Radius = 10 miles) The grid shows the location of the hot air balloon at time t 0 minutes
(when it first appeared on the radar screen) and time t%3D90 minutes later.
50/2
Position at time t=0
2f/3
1/3-
Position at time t 90
TT/6
50
50
7n/6
11m6
4/3
5n/3
50 2

1. Express the two locations of the hot air balloon in polar coordinates. Is the hot air balloon
in violation of the airport air space at either of these locations? Explain.
2. Determine the rectangular coordinates of the hot air balloon at time t = 90 minutes. State
the meaning of this answer in the context of the problem.
3. The hot air balloon crashes 6 miles east and south of the air traffic controller's tower.
Determine the distance the balloon is from the control tower and if it has violated the
airport air space. Justify your answer.

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