A van accelerates down a hill $($see figure below$),$ going from rest to $30\mathrm{.}0\frac{m}{s}$ in $5\mathrm{.}40$ s $.$ During the acceleration, a toy $(m=0\mathrm{.}130kg)$ hangs by a string from the van's ceiling. The acceleration is such that the string remains perpendicular to the ceiling.

$($a$)$ Determine the angle $.$

Your response differs from the correct answer by more than $10\%.$ Double check your calculations. $$

$($b$)$ Determine the tension in the string.

Your response differs from the correct answer by more than $10\%.$ Double check your calculations. N