### A Parachutist

A parachutists jumps from a plane. When his height is 250m above the ground he reaches the velocity 33 m/s.

He then opens his parachut and start descending at a constant rate of 2.2m/s. In that instant he also drops a smoke

canister.

a) Find the time for the canister to reach the ground.

b) Find the velocity of the canister when it strikes the ground.

c) Find the time for the parachutist to reach the ground

d) Find the position of the parachutist when the smoke canister strikes the ground.

e) Find an expression for the distance between the smoke canister and the parachutist.