Problem 1.15

An elevator car whose floor-to-ceiling distance is equal to $2.7 \mathrm{~m}$ starts ascending with constant acceleration $1.2 \mathrm{~m} / \mathrm{s}^{2} ; 2.0 \mathrm{~s}$ after the start a bolt begins falling from the ceiling of the car. Find: (a) the bolt's free fall time; (b) the displacement and the distance covered by the bolt during the free fall in the reference frame fixed to the elevator shaft.