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## Homework Statement

A projectile of mass m is fired at angle theta with the horizontal with initial velocity of v0 (ft/s). neglect all forces except for gravity and air resistance and assume air resistance is equal to k times velocity (ft/s)

a) with x-horizontal and y-vertical, show that the differential equations of the resulting motion are:

mx'' + kx' = 0

my'' + ky' +mg = 0

b) find the solution of the system of differential equations of part (a).

## Homework Equations

## The Attempt at a Solution

there were no similar examples in the book so i dont know how to do part a... and for part b i tried:

(mD^2 + kD)x = 0

(md^2 + kD)y + mg = 0

im not sure what to do from here or even if that was the right step to begin with