A drone that is delivering first-aid kits in a war zone has the mission of delivering one to a ship that is stranded in

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A drone that is delivering first-aid kits in a war zone has the
mission of delivering one to a ship that is stranded in the Baltic
Sea. When the drone is at a height of 500 meters above the surface
of the water, it is hit by a projectile and drops the first-aid kit
that weighs 98 Newtons. 3 seconds pass before the parachute of the
medicine cabinet opens, from the moment the parachute opens, a
resistance force (in newtons) of the air equal to 0.5 v acts on it.
The first-aid kit reaches the surface of the water and begins to
sink, as it does so it is acted upon by a resistive force (in
newtons) of the water equal to 0.8 v and a thrust equal to 50
Newtons.
a) Write the mathematical model of the first aid kit when it
goes in the air before the parachute opens.
b) Write the mathematical model of the medicine chest when it goes
into the air after the parachute opens.
c) Write the mathematical model of the first-aid kit when it goes
into the water.
d) Find the equation that allows you to calculate the speed of the
kit while it is in the air before opening the parachute. First it
shows the general solution and then the particular solution (clear
v as a function of t)