A bomb suddenly explodes within earshot of Adriana, Brinda, and Chimalsi. The instant they hear it,...
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A bomb suddenly explodes within earshot of Adriana, Brinda, and Chimalsi. The instant they hear it, all three immediately look at their watches. The times that each person hears the explosion are as follows: - Adriana (A): Midday exactly -Brinda (B): 5-17 seconds before midday - Chimalsi (C) 5-5 seconds before midday. Meanwhile, the locations of all three people are pictured below. A=(-2,0) C = (2.6) B=(2,0) a) Show that the explosion's coordinates (x, y) must lie on the hyperbola 1. () - ( b) Find a second such hyperbola. e) Plot these hyperbolas using MATLAB on the same graph. Where do they intersect? (Hint, you may wish to use pasolee and/or fsolve for this). Include any MATLAB code used in your answer. d) Where did the explosion occur? N.B. For this problem, assume the following things: - Sound travels in a straight line with speed 1 in the distance units used. - the Earth is approximately flat over the relatively small area in question. Adriana, Brinda, and Chimalsi are very diligent and keep their watches accurate, with time displayed in surds. - A bomb suddenly explodes within earshot of Adriana, Brinda, and Chimalsi. The instant they hear it, all three immediately look at their watches. The times that each person hears the explosion are as follows: - Adriana (A): Midday exactly -Brinda (B): 5-17 seconds before midday - Chimalsi (C) 5-5 seconds before midday. Meanwhile, the locations of all three people are pictured below. A=(-2,0) C = (2.6) B=(2,0) a) Show that the explosion's coordinates (x, y) must lie on the hyperbola 1. () - ( b) Find a second such hyperbola. e) Plot these hyperbolas using MATLAB on the same graph. Where do they intersect? (Hint, you may wish to use pasolee and/or fsolve for this). Include any MATLAB code used in your answer. d) Where did the explosion occur? N.B. For this problem, assume the following things: - Sound travels in a straight line with speed 1 in the distance units used. - the Earth is approximately flat over the relatively small area in question. Adriana, Brinda, and Chimalsi are very diligent and keep their watches accurate, with time displayed in surds. -
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a Given C 2 6 A 2 0 B 2 0 The time each person heard the explosion C 5 sqrt5 seconds before midday B ... View the full answer
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