A particle starts from rest at $x=-3\mathrm{.}4m$ and moves along the $x-$axis with the velocity history shown. Plot the corresponding acceleration and the displacement histories for the $4\mathrm{.}8$ seconds. Find the time $t$ when the particle crosses the origin. After you have the plots, answer the questions.

Questions

At $t=0\mathrm{.}64s,x=m,v=\frac{m}{s},a=\frac{m}{s^2}$

At $t=1\mathrm{.}78s,x=m,v=\frac{m}{s},a=\frac{m}{s^2}$

At $t=3\mathrm{.}87s,x=m,v=\frac{m}{s},a=\frac{m}{s^2}$

The particle will cross the origin when $t=$ s