3 A particle of mass 3 gm moves along the x axis and is

Last updated: 6/10/2023

3 A particle of mass 3 gm moves along the x axis and is attracted towards the origin by a force whose magnitude is numerically equal to to 12 times the instantaneous displacement from the origin The particle is also subjected to a damping force which brings it to the origin in minimum time and whose magnitude is 12 times the instantaneous speed If it is initially at rest at x 10 cm which one of the following equations gives the particle s position at a later time t a 10 40t e 4t b 10 20t e c 10 e t cos 4t d 10 e t sin 4t 2t