Chapter 5, Problem 28RE

(a)

To determine

To evaluate: The displacement $x\left(t\right)$ of the given mass and to compute where is the mass at time $t_1$.

(b)

To determine

To evaluate: The displacement $x\left(t\right)$ of the given mass and give a time interval $\left[t_1,t_2\right]$ over which the solution is defined. Also to compute where is the mass at time $t_2$.

(c)

To determine

To evaluate: The displacement $x\left(t\right)$ of the given mass and give a time interval $\left[t_2,t_3\right]$ over which the solution is defined. Also to compute where is the mass at time $t_3$.

(d)

To determine

To prove: That the model predicts that there is no further motion for $t>t_3$.

(e)

To determine

To sketch: The graph of the displacement $x\left(t\right)$ in the interval $\left[0,t_3\right]$.