Suppose a 96-Lb Object Stretches a Spring 3 Feet While

Essay

Suppose a 96-lb object stretches a spring 3 feet while in equilibrium, and a dashpot provides a damping force of 5 lbs for every foot per second of velocity. The form of the equation of unforced motion of the object in such a spring-mass system is where m is the mass of the object, c is the damping constant, and k is the spring constant. Assume that the spring starts at a height of 3/2 feet below the horizontal with an upward velocity of - 2 feet per second.
For what values of A, B, C, and D can the solution, be expressed in the form . Provide the exact values, not decimal approximations.
A = ____________, B = ____________, C = ____________, tan D = ____________