A particle is moving along a curve. Its x position is described by x = t² m while its y position is given by the function y = 2 + t* m. Determine the following: a. Sketch an x-y plot of the particle's path, showing the starting position (at t = 0) of and the direction taken by the particle b. At t = 1 sec, determine the velocity and acceleration vectors of the particle. (Express in Cartesian vector form) c. At t = 1 sec, determine the normal and tangential components of the acceleration. Show the vector diagram of the components. d. Determine the magnitude of the acceleration at t = 1 sec.

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A particle is moving along a curve. Its x position is described by x = t² m while its y position is given by
the function y = 2 + t* m. Determine the following:
a. Sketch an x-y plot of the particle's path, showing the starting position (at t = 0) of and the direction
taken by the particle
b. At t = 1 sec, determine the velocity and acceleration vectors of the particle. (Express in Cartesian
vector form)
c. At t = 1 sec, determine the normal and tangential components of the acceleration. Show the vector
diagram of the components.
d. Determine the magnitude of the acceleration at t = 1 sec.
Transcribed Image Text:A particle is moving along a curve. Its x position is described by x = t² m while its y position is given by the function y = 2 + t* m. Determine the following: a. Sketch an x-y plot of the particle's path, showing the starting position (at t = 0) of and the direction taken by the particle b. At t = 1 sec, determine the velocity and acceleration vectors of the particle. (Express in Cartesian vector form) c. At t = 1 sec, determine the normal and tangential components of the acceleration. Show the vector diagram of the components. d. Determine the magnitude of the acceleration at t = 1 sec.
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