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?

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Chapter1: Units, Trigonometry. And Vectors
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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
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