1.Convert the following vectors to cylindrical and spherical systems: F = ra, +ya, +za, +y* [ra,...

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1.Convert the following vectors to cylindrical and spherical systems: F = ra, +ya, +za, +y* [ra, + ya, + za;] G = 2.The acceleration of a particle is given bya = 2.4a,m/s2. The initial position of the particle is r = (0, 0, 0), while its initial velocity isv =-2a, + 5a,m/s. (a) Find the position of the particle at time t = 1. (b) Determine the velocity of the particle as a function of t 1.Convert the following vectors to cylindrical and spherical systems: F = ra, +ya, +za, +y* [ra, + ya, + za;] G = 2.The acceleration of a particle is given bya = 2.4a,m/s2. The initial position of the particle is r = (0, 0, 0), while its initial velocity isv =-2a, + 5a,m/s. (a) Find the position of the particle at time t = 1. (b) Determine the velocity of the particle as a function of t