The acceleration of a particle varies with time according to the equation a(t) = pt° – qt . Initially, the velocity and position are zero. 1. What is the velocity as a function of time? Note: It will be of the form v(t) = AptB - Cqt". Specify the coefficients A, B, C, D %3D A = В — C = D = 2. What is the position as a function of time? Note: It will be of the form AptB – Cqtº. Specify the coefficients A, B, C, D A = В — C = D =

Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter4: Motion In Two Dimensions
Section: Chapter Questions
Problem 36AP: A particle starts from the origin with velocity 5im/s at t = 0 and moves in the xy plane with a...
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The acceleration of a particle varies with time according to the equation a(t) = pt – qt“ . Initially, the
velocity and position are zero.
-
1. What is the velocity as a function of time?
Note: It will be of the form v(t) = Apt5 - Cqt". Specify the coefficients A, B, C, D
R
A =
B =
C =
D =
2. What is the position as a function of time?
Note: It will be of the form AptB – Cqt". Specify the coefficients A, B, C, D
%3D
В —
B
C =
%3D
D =
Transcribed Image Text:The acceleration of a particle varies with time according to the equation a(t) = pt – qt“ . Initially, the velocity and position are zero. - 1. What is the velocity as a function of time? Note: It will be of the form v(t) = Apt5 - Cqt". Specify the coefficients A, B, C, D R A = B = C = D = 2. What is the position as a function of time? Note: It will be of the form AptB – Cqt". Specify the coefficients A, B, C, D %3D В — B C = %3D D =
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