Aeroplane A is flying east at a speed of 600 km/h along the horizontal axis at the instance shown in the figure below. Aeroplane B passes under A, with its nose pointed 45° in the northeast direction. In the meantime, B is moving relatively away from A at an angle of 60° in the direction shown below. a) Draw the vector diagram denoting the relative motion of the aeroplanes. Clearly annotate each vector to represent velocities of A and B, as well as the velocity of B relative to A. Indicate vector directions using arrows. b) Determine the velocity of B, and the velocity of B relative to A. c) As time progresses from this initial instance, the velocity of aeroplane A increases and is defined by v(t) = 4t 2 + 2t + 600 km/h. Determine the displacement, velocity and acceleration of aeroplane A after 12 seconds. d) Determine the acceleration of B, and the acceleration of B relative to A, at this new time instance (t = 12 seconds) as defined in part (c).
Aeroplane A is flying east at a speed of 600 km/h along the horizontal axis at the
instance shown in the figure below. Aeroplane B passes under A, with its nose pointed
45° in the northeast direction. In the meantime, B is moving relatively away from A at
an angle of 60° in the direction shown below.
a) Draw the
annotate each vector to represent velocities of A and B, as well as the velocity
of B relative to A. Indicate vector directions using arrows.
b) Determine the velocity of B, and the velocity of B relative to A.
c) As time progresses from this initial instance, the velocity of aeroplane A
increases and is defined by v(t) = 4t
2 + 2t + 600 km/h. Determine the
displacement, velocity and acceleration of aeroplane A after 12 seconds.
d) Determine the acceleration of B, and the acceleration of B relative to A, at this
new time instance (t = 12 seconds) as defined in part (c).
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