The position (X,Y, Z) of a particle of mass M is given by the following equations: X = 2te* + (3 + 1)t – 7² Y = & +aßf² + 7² cos(a²t) Z = By + ôsin(ôt) where a, B, 7, 5 are constants of your student mumber. (a) Find the three components of the velocity as a function of time. (b) Find the three components of the acceleration as a function of time. da (c) Suppose we define jerk as . Find the three components of jerk as a function of time. (d) What is the magnitude of the velocity and acceleration of the particle at time t?

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)...
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Problem 2
2. The position (X,Y, Z) of a particle of mass M is given by the following equations:
X = 2te" + (3 + 1)t – ye Y = ô +aßt² +² cos(a²t) Z = By + ô sin(ôt)
where a, 3, 7, d are constants of your student mumber.
(a)
Find the three components of the velocity as a function of time.
(b)
Find the three components of the acceleration as a function of time.
da
(c)
Suppose we define jerk as . Find the three components of jerk as a function of time.
(d)
What is the magnitude of the velocity and acceleration of the particle at time t?
Transcribed Image Text:Problem 2 2. The position (X,Y, Z) of a particle of mass M is given by the following equations: X = 2te" + (3 + 1)t – ye Y = ô +aßt² +² cos(a²t) Z = By + ô sin(ôt) where a, 3, 7, d are constants of your student mumber. (a) Find the three components of the velocity as a function of time. (b) Find the three components of the acceleration as a function of time. da (c) Suppose we define jerk as . Find the three components of jerk as a function of time. (d) What is the magnitude of the velocity and acceleration of the particle at time t?
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