The position vector of a particle of mass 0.05 kg is r (t) = 3 cos (4. t)i + 3 sin (4.t)j +10 t k What is the vector expression for the velocity of the particle at time t in m/s? v (t) = ? What is the vector expression for the acceleration of the particle at time t in m/s^2? a(t) = ? Deduce the magnitude of the force acting on the particle |F| = What is the direction of the acceleration compared with the velocity of the particle?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The position vector of a particle of mass 0.05 kg is r (t) = 3 cos (4. t)i + 3 sin (4.t)j +10 t k What is the vector expression for the velocity of the particle at time t in m/s? v (t) = ? What is the vector expression for the acceleration of the particle at time t in m/s^2? a(t) = ? Deduce the magnitude of the force acting on the particle |F| = What is the direction of the acceleration compared with the velocity of the particle?
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