Can someone please help me to solve the following question showing all work following all directions and completely filling out the table. Thank you!

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Can someone please help me to solve the following question showing all work following all directions and completely filling out the table. Thank you!
2. In a one-dimensional motion of a particle where the position of particle at each instant is defined with x(t),
the first derivative of x with respect to time represents velocity and the second derivative of the x with respect
to time represents the acceleration of that particle.
a) Calculate the velocity and acceleration analytically (i.e. first and second time-derivatives of the position x
respectively
b) plug in the known value in the relevant equation.
c) Solve for the unknowns and fill in the blanks.
Note that x is in meters and t is in seconds. Multiple solutions are possible.
x(t)
x(t)
6e-4.8t
√t
-t³+ t² + 2t
t³-12t² + 36t+30
cos(10t) - 2 sin (10t)
t
5 s
1.5 m
v = x (t)
1 m/s
a = x(t)
0 m/s²
Transcribed Image Text:2. In a one-dimensional motion of a particle where the position of particle at each instant is defined with x(t), the first derivative of x with respect to time represents velocity and the second derivative of the x with respect to time represents the acceleration of that particle. a) Calculate the velocity and acceleration analytically (i.e. first and second time-derivatives of the position x respectively b) plug in the known value in the relevant equation. c) Solve for the unknowns and fill in the blanks. Note that x is in meters and t is in seconds. Multiple solutions are possible. x(t) x(t) 6e-4.8t √t -t³+ t² + 2t t³-12t² + 36t+30 cos(10t) - 2 sin (10t) t 5 s 1.5 m v = x (t) 1 m/s a = x(t) 0 m/s²
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