1. The positon vector r of a particle of mass 2 kg at time t seconds is given by r- [(2 sin 2t) i + (1- cos 2t) j) m. Find (a) the velocity and the acceleration of the particle when /= (b) the kinetic ernegy of the particle when /=. (c) the force acting on the particle when =", (d) the values of t where 0 sts for which the velocity of the particle is perpendicular to its acceleration.

1. The positon vector r of a particle of mass 2 kg at time t seconds is given by r- [(2 sin 2t) i + (1- cos 2t) j) m. Find (a) the velocity and the acceleration of the particle when /= (b) the kinetic ernegy of the particle when /=. (c) the force acting on the particle when =", (d) the values of t where 0 sts for which the velocity of the particle is perpendicular to its acceleration.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section6.3: Relative Velocity

Problem 27PP

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1. The positon vector r of a particle of mass 2 kg at time t seconds is given by
r= [(2 sin 2t) i + (1- cos 2t) j] m.
Find
(a) the velocity and the acceleration of the particle when /=
(b) the kinetic ernegy of the particle when /=",
(c) the force acting on the particle when =
(d) the values of t where 0 <ts for which the velocity of the particle is perpendicular
to its acceleration.

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