A particle is moving is such a way that its position after time t is described by the vector t = • t² | m e-t where t is measured in s. The particle has a mass of 2.0 kg. (a) What is the position of the particle at t = 1.0 s? (b) How far is the particle from the origin at t = 1.0 s?

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Chapter1: Units, Trigonometry. And Vectors
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A particle is moving is such a way that its position after time t is described by the vector
e-t
where t is measured in s. The particle has a mass of 2.0 kg.
(a) What is the position of the particle at t = 1.0 s?
(b) How far is the particle from the origin at t = 1.0 s?
(c) What is the velocity of the particle at t = 1.0 s?
(d) What is the speed of the particle at t = 1.0 s?
(e) What is the momentum of the particle at t = 1.0 s?
(f) What is the kinetic energy of the particle at t = 1.0 s?
(g) What is the acceleration of the particle at t = 1.0 s?
(h) What is the total force on the particle at t = 1.0 s?
Report all numerical values in standard SI units.
Transcribed Image Text:A particle is moving is such a way that its position after time t is described by the vector e-t where t is measured in s. The particle has a mass of 2.0 kg. (a) What is the position of the particle at t = 1.0 s? (b) How far is the particle from the origin at t = 1.0 s? (c) What is the velocity of the particle at t = 1.0 s? (d) What is the speed of the particle at t = 1.0 s? (e) What is the momentum of the particle at t = 1.0 s? (f) What is the kinetic energy of the particle at t = 1.0 s? (g) What is the acceleration of the particle at t = 1.0 s? (h) What is the total force on the particle at t = 1.0 s? Report all numerical values in standard SI units.
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