(Solved): A muzzle-loading rifle fires 22LR bullets such that as they travel down the barrel of the rifle th ...

A muzzle-loading rifle fires $$22\mathrm{LR}$$ bullets such that as they travel down the barrel of the rifle their speed is given by $$v=\left(?4.95\times 10^7\right)t^2+\left(2.20\times 10^5\right)t$$ where $$v$$ is in meters per second and $$t$$ is in seconds. The acceleration of the bullet just as it leaves the barrel is zero. $$\begin{array}{ll}a(t)=& \mathrm{m}/{\mathrm{s}}^2\\ x(t)=& \mathrm{m}\end{array}$$ (b) Determine the length of time the bullet is accelerated (in s). $$]\mathrm{s}$$ (c) Find the speed at which the bullet leaves the barrel (in $$\mathrm{m}/\mathrm{s}$$ ). $$\mathrm{m}/\mathrm{s}$$ (d) What is the length of the barrel (in $$\mathrm{m}$$ )?