Two aeroplanes A and B fly at constant velocities at the same altitude. The positions of the planes at time t = 0 are shown in the figure. Aeroplane A flies at speed 580 km/h directly to point C while plane B flies at speed 260 km/h directly to point D. ABCD is a rectangle. 40 km B 30 km (a) Determine the velocity of plane A relative to plane В. (b) Determine the position vector of A relative to B D as a function of time. (c) Determine the smallest distance between the two planes and the time when this occurs.

University Physics Volume 1
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Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
Problem 8CQ: Answer the following questions for projectile motion on level ground assuming negligible air...
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5.4 Two aeroplanes A and B fly at constant velocities at
the same altitude. The positions of the planes at time
t = 0 are shown in the figure. Aeroplane A flies at
speed 580 km/h directly to point C while plane B flies
at speed 260 km/h directly to point D. ABCD is a
rectangle.
40 km
C
В
30 km
(a) Determine the velocity of plane A relative to plane
В.
(b) Determine the position vector of A relative to B
A
D
as a function of time.
(c) Determine the smallest distance between the two
planes and the time when this occurs.
Transcribed Image Text:5.4 Two aeroplanes A and B fly at constant velocities at the same altitude. The positions of the planes at time t = 0 are shown in the figure. Aeroplane A flies at speed 580 km/h directly to point C while plane B flies at speed 260 km/h directly to point D. ABCD is a rectangle. 40 km C В 30 km (a) Determine the velocity of plane A relative to plane В. (b) Determine the position vector of A relative to B A D as a function of time. (c) Determine the smallest distance between the two planes and the time when this occurs.
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