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).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question

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).

60°
B
45°
-x
Transcribed Image Text:60° B 45° -x
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Dynamics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY