The ground vector of a moving particle in a plane is r=(t³ - t)i + (t²)j a) Find the velocity and acceleration vectors of the particle. b) Write a unit vector tangent to the orbit at the moment of t. c) Calculate the instantaneous intensity of the acceleration vector t=2 sec. d) Calculate the instantaneous intensity of the acceleration vector tangent component to the orbit at t=2 sec. e) Calculate the intensity of the normal component of the acceleration vector to the orbit at the moment of t=2 sec.

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Author:Raymond A. Serway, John W. Jewett
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Chapter17: Sound Waves
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Problem 17.62AP
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The ground vector of a moving particle in a plane is r=(t³ - t)i + (t²)j a) Find the velocity and acceleration vectors of the particle. b) Write a unit vector tangent to the orbit at the moment of t. c) Calculate the instantaneous intensity of the acceleration vector t=2 sec. d) Calculate the instantaneous intensity of the acceleration vector tangent component to the orbit at t=2 sec. e) Calculate the intensity of the normal component of the acceleration vector to the orbit at the moment of t=2 sec.
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