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 - Y = 6 + aßt° + y² cos(a²t) _Z = By + ô sin(ôt) where a, ß, 7, ô 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?

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter2: Relativity Ii
Section: Chapter Questions
Problem 31P: A particle of mass m moving along the x-axis with a velocity component +u collides head-on and...
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student number: 2019-1-02957

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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