Suppose that the mass in a mass-spring-dashpot system with m= 20, c= 13 and k =2 is set in motion with x(0) = 0 and x'(0) = 5. (a) Find the position function x(t) and show that its graph looks as indicated in the figure. (b) Find how far the mass moves to the right before starting back toward the origin. Ax 6- 0+ 10 20 30 40 50 (a) x(t) = | (Type an exact answer.) %3D (b) The mass moves units to the right before turning back. (Round to four decimal places as needed.)

Suppose that the mass in a mass-spring-dashpot system with m= 20, c= 13 and k =2 is set in motion with x(0) = 0 and x'(0) = 5. (a) Find the position function x(t) and show that its graph looks as indicated in the figure. (b) Find how far the mass moves to the right before starting back toward the origin. Ax 6- 0+ 10 20 30 40 50 (a) x(t) = | (Type an exact answer.) %3D (b) The mass moves units to the right before turning back. (Round to four decimal places as needed.)