2. The position (X, Y, Z) of a particle of mass M is given by the following equations: X = 2ter + (3 +1)t – t Y = 6+aßt² +7² cos(a²t) Z = 37 +ổ sin(õt) where a, 3, 7, 8 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. (c) Suppose we define jerk as da Find the three components of jerk as a function of time. IP (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
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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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2. The position (X, Y, Z) of a particle of mass M is given by the following equations:
X = 2te* + (3 + 1)t – yt3 Y = 8 +aßt² + 7² cos (a²t) Z = By + ổ sin(st)
where a, 3, 7, 8 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.
(c)
Suppose we define jerk as
da
Find the three components of jerk as a function of time.
dt
(d)
What is the magnitude of the velocity and acceleration of the particle at time t?
Transcribed Image Text:2. The position (X, Y, Z) of a particle of mass M is given by the following equations: X = 2te* + (3 + 1)t – yt3 Y = 8 +aßt² + 7² cos (a²t) Z = By + ổ sin(st) where a, 3, 7, 8 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. (c) Suppose we define jerk as da Find the three components of jerk as a function of time. dt (d) What is the magnitude of the velocity and acceleration of the particle at time t?
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