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?
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?
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
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Problem 11PQ: CASE STUDY On planet Betatron, mass is measured in bloobits and length in bots. You are the Earth...
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbdd50430-ae91-4abe-8eae-e71260bcf1ae%2F6371b6bc-bc61-44f2-b958-d6a2ebd6057e%2Fvy41aoq_processed.png&w=3840&q=75)
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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