# Box on top of a plane!

A block of mass $$5 \text{kg}$$ is placed on top of an aeroplane moving horizontally with an acceleration of $$11 {\text{m/s}}^2$$ at a height of $$500 \text{m}$$ above the ground. If the box is placed at a distance of $$10 \text{m}$$ from the tail of the aeroplane, then calculate the total time taken by the block to reach the ground.

Details and assumptions:-

• Assume that the air resistance is negligible.
• Assume that the aeroplane is of negligible width and does not change its direction during flight.
• Assume that the box does not collide with the tail of the aeroplane just before falling off the aeroplane.
• Take $${\mu}_{\text{s}}$$ (co-efficient of static friction) between the block and the aeroplane's surface as $$0.5$$.
• Take $$\text{g}$$ (acceleration due to gravity) as $$10 {\text{m/s}}^2$$.