An object rolls horizontally without slipping so that its center of mass moves with velocity v $.$ if the object then rolls up an incline to a maximum height of $\frac{5t^2}{69},$ which of the following could it be$?$

Select one:

a$.$ a solid cylinder, $I=\frac{1}{2}M{R}^2$

b$.$ a solid sphere, $I=\frac{2}{5}M{R}^2$

c$.$ a spherical shell, $I=\frac{2}{3}M{R}^2$

d$.$ a circular hoop, $I=M{R}^2$