For the mass described in Prob. 3.6:(a) Integrate the equation of motion to determine the...

For the mass described in Prob. 3.6:

(a) Integrate the equation of motion to determine the speed of the mass υ(x) as a function of x.

(b) Integrate the result found in Part (a) to obtain the position of the mass as a function of time x(t) from the initial time up until the mass stops for the first time.

Figure P3.7