Airplanes A and B, flying at constant velocity and at the same altitude, are tracking the eye of hurricane C. The relative velocity of C with respect to A is 300 kph 65.0° South of West, and the relative velocity of C with respect to B is 375 kph 50.0° South of East. A 120.0 km B 1N 1. Determine the relative velocity of B with respect to A. A ground-based radar indicates that hurricane C is moving at a speed of 40.0 kph due north. 2. Determine the velocity of airplane A. 3. Determine the velocity of airplane B. Consider that at the start of the tracking expedition, the distance between the planes is 120.0 km and their initial positions are horizontally collinear. 4. Given the velocities obtained in items 2 and 3, should the pilots of planes A and B be concerned whether the planes will collide at any given time? Prove using pertinent calculations. (Hint: x = x + vt) 0

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Airplanes A and B, flying at constant velocity and at the same altitude, are tracking the eye
of hurricane C. The relative velocity of C with respect to A is 300 kph 65.0° South of West,
and the relative velocity of C with respect to B is 375 kph 50.0° South of East.
A
120.0 km
B
1N
1. Determine the relative velocity of B with respect to A.
A ground-based radar indicates that hurricane C is moving
at a speed of 40.0 kph due north.
2. Determine the velocity of airplane A.
3. Determine the velocity of airplane B.
Consider that at the start of the tracking expedition, the
distance between the planes is 120.0 km and their initial
positions are horizontally collinear.
4. Given the velocities obtained in items 2 and 3, should
the pilots of planes A and B be concerned whether the
planes will collide at any given time? Prove using
pertinent calculations. (Hint: x = x + vt)
0
Transcribed Image Text:Airplanes A and B, flying at constant velocity and at the same altitude, are tracking the eye of hurricane C. The relative velocity of C with respect to A is 300 kph 65.0° South of West, and the relative velocity of C with respect to B is 375 kph 50.0° South of East. A 120.0 km B 1N 1. Determine the relative velocity of B with respect to A. A ground-based radar indicates that hurricane C is moving at a speed of 40.0 kph due north. 2. Determine the velocity of airplane A. 3. Determine the velocity of airplane B. Consider that at the start of the tracking expedition, the distance between the planes is 120.0 km and their initial positions are horizontally collinear. 4. Given the velocities obtained in items 2 and 3, should the pilots of planes A and B be concerned whether the planes will collide at any given time? Prove using pertinent calculations. (Hint: x = x + vt) 0
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