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## Homework Statement

A cube is falling from a height of 200 m (initial velocity =0) , it reaches it's terminal velocity . Given that :its mass is 100 kg , cross sectional area 40 cm

^{2}and coefficient of drag 2. Putting only weight and drag in consideration , calculate its terminal velocity and time of the fall (g=10)

## Homework Equations

W=mg , F

_{d}= C

_{d}*A*1/2*ρ*v

^{2}( ρ

=1)

## The Attempt at a Solution

it tried to solve it using calculus , but all the formulas i had was integration or differentiation in respect to time , and i didnt have a function of time . i figured out a relation between velocity and acceleration , F

_{r}=W-F

_{D}, after working it out , it was something like this , a=(100)/(1000-(0.08 v

^{2}) , i don't know what to do next , i don't know if i can substitute v with some something to get a function time

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