An aeroplane moves so that at time t seconds, its position vectors, r metres, is given by: r= (40t)i + (3r² + 201) j The unit vectors i and j are that are directed horizontally and vertically respectively. The aeroplane is initially at ground level. a) Find the time when the height of the aeroplane is 500 metres. ( seconds) b) Find the speed of the aeroplane at this time. ( m/s) c) Find the magnitude of acceleration of the aeroplane. ( m/s2)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question
100%
An aeroplane moves so that at time t seconds, its position vectors, r metres, is given by:
r= (40t)i + (3r² + 201) j
The unit vectors i and j are that are directed horizontally and vertically respectively. The aeroplane is initially at ground level.
a) Find the time when the height of the aeroplane is 500 metres. (
seconds)
b) Find the speed of the aeroplane at this time. (
m/s)
c) Find the magnitude of acceleration of the aeroplane. (
m/s2)
Transcribed Image Text:An aeroplane moves so that at time t seconds, its position vectors, r metres, is given by: r= (40t)i + (3r² + 201) j The unit vectors i and j are that are directed horizontally and vertically respectively. The aeroplane is initially at ground level. a) Find the time when the height of the aeroplane is 500 metres. ( seconds) b) Find the speed of the aeroplane at this time. ( m/s) c) Find the magnitude of acceleration of the aeroplane. ( m/s2)
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Vector basics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON