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. A + Bt2 r(t) = %3D %3D y(1) 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 = 2.1 • B = 3.0 • C = 1.4 • D = 3.3 • t = 7.7 • At = 0.019

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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dr
v(t)
%3D
dt
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) = ) = ( P
r(t):
%3D
%3D
y(t)
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 = 2.1
%3D
• B = 3.0
%3D
• C = 1.4
%3D
• D = 3.3
%3D
• t = 7.7
• At = 0.019
%3D
Transcribed Image Text:dr v(t) %3D dt 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) = ) = ( P r(t): %3D %3D y(t) 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 = 2.1 %3D • B = 3.0 %3D • C = 1.4 %3D • D = 3.3 %3D • t = 7.7 • At = 0.019 %3D
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