At time t, Orange's x-position is x(t) and Green's y-position is y(t). Orange and Greem fly at vo and vG The numbers (for this problem) are: x(0) = -55.7 meters • y(0) = -157.3 meters Vo = 14 m/s • VG = 10 m/s • t = 3.3 s %3D How far apart are they at time t?

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Vectors
Section: Chapter Questions
Problem 3.62AP: After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of...
icon
Related questions
icon
Concept explainers
Topic Video
Question
At time t, Orange's x-position is x(t) and Green's y-position is y(t). Orange and Green
fly at vo and vG The numbers (for this problem) are:
x(0) = -55.7 meters
y(0) = -157.3 meters
• Vo = 14 m/s
• VG = 10 m/s
t = 3.3 s
How far apart are they at time t?
The numbers (for this problem) are:
Vo = 15.3 m/s
• VG = 11.5 m/s
Calculate the magnitude of Orange's velocity relative to Green's (in m/s).
Transcribed Image Text:At time t, Orange's x-position is x(t) and Green's y-position is y(t). Orange and Green fly at vo and vG The numbers (for this problem) are: x(0) = -55.7 meters y(0) = -157.3 meters • Vo = 14 m/s • VG = 10 m/s t = 3.3 s How far apart are they at time t? The numbers (for this problem) are: Vo = 15.3 m/s • VG = 11.5 m/s Calculate the magnitude of Orange's velocity relative to Green's (in m/s).
dr
v(t) =
dt
%3D
This means that if At is sufficiently small and Ar is the displacement during At, we
can approximate Ar as v(t) At. (With r(t) given below, nothing prevents you from an
exact calculation except the approximation of the numbers. But v(t) At may be
easier.)
An object moves according to the following function of time. This problem will be
purely numerical, although if you wish, you may think of the numbers as numbers of
meters, seconds, meters/second, and so forth.
x(t)
A + Bt2
r(t) =
%3D
%3D
Ct + Dt3
Calculate the distance the object moves during the time interval (t - At/2, t + At/2),
at least approximately -- to within three percent. The numbers:
• A = 7.9
• B = 5.4
• C = 2.2
D = 8.9
•t 8.8
At = 0.048
Transcribed Image Text:dr v(t) = dt %3D This means that if At is sufficiently small and Ar is the displacement during At, we can approximate Ar as v(t) At. (With r(t) given below, nothing prevents you from an exact calculation except the approximation of the numbers. But v(t) At may be easier.) An object moves according to the following function of time. This problem will be purely numerical, although if you wish, you may think of the numbers as numbers of meters, seconds, meters/second, and so forth. x(t) A + Bt2 r(t) = %3D %3D Ct + Dt3 Calculate the distance the object moves during the time interval (t - At/2, t + At/2), at least approximately -- to within three percent. The numbers: • A = 7.9 • B = 5.4 • C = 2.2 D = 8.9 •t 8.8 At = 0.048
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Displacement, velocity and acceleration
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
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University