The motion of a vibrating particle is defined by the position vector r = (4 sin nt)i – (cos 2ntj, where ris expressed in inches and tin seconds. (a) Determine the velocity and acceleration when t= 1...

Extracted text: The motion of a vibrating particle is defined by the position vector r = (4 sin nt)i – (cos 2ntj, where ris expressed in inches and tin seconds. (a) Determine the velocity and acceleration when t= 1 s. (b) Show that the path of the particle is parabolic. Fig. P11.91 1 in. 11 in.