A body of mass m, which is initially at rest, falls vertically from the height h under the influence of constant gravitational acceleration, g = 9.81 ms−2 .
Assuming that the body’s air resistance is proportional to the square of its velocity v and opposite to the direction of v, i.e. F = −kv^2 , with k a positive constant, determine the velocity vimpact with which the body hits the ground level (height zero).
I have created this relation in the system:
However I am very stuck where to move from here, any guidance would be greatly appreciated.