Solve the Problem $\mathrm{v}$ (In $\mathrm{m} / \mathrm{s}$ ) of an Object Moving with Acceleration a (In

Solve the problem.
-The velocity $\mathrm{v}$ (in $\mathrm{m} / \mathrm{s}$ ) of an object moving with acceleration a (in $\mathrm{m} / \mathrm{s}^{2}$ ) is given by $\mathrm{v}=\int \mathrm{adt}$ , where $t$ is the time (in seconds) . Find a formula for $v$ , if $a=\frac{5}{4} t\left(t^{2}+1\right) ^{2}$ .

A) $v=\frac{1}{2} \frac{\left(t^{2}+1\right) ^{3}}{3}+C$
B) $v=\frac{5}{8} \frac{\left(t^{2}+1\right) ^{3}}{3}+C$
C) $\mathrm{v}=\frac{1}{4} \frac{\left(\mathrm{t}^{2}+1\right) ^{3}}{3}+\mathrm{C}$
D) $\mathrm{v}=-\frac{1}{8} \frac{\left(\mathrm{t}^{2}+1\right) ^{3}}{3}+\mathrm{C}$