## Complex Projectile Motion question. Algebra help needed

1. The problem statement, all variables and given/known data
A cow, with a mass of 327 kg, if fired from a medieval catapault, and travels a horizontal distance of 1375 m. It lands in a depression 39 m below its starting position. If it is launched at an angle of 37.0above the horizontal, find its initial speed.

Givens
HOR
dx= 1375
V1x= ?
ax= 0m/s2
v2x=v1x

VER
dy= -39 m
v1y= ?
ay= -9.81m/s2
v2y=?

T=?

2. Relevant equations
$$x = x_0 + v_0 t + (1/2) a t^2$$

3. The attempt at a solution
What I did here was make a equation for time of flight for the horizontal
dx=v1*cos37* t +1/2 at^2
1375=v1x*cos37*t
t= 1372/v1*cos37
I then entered this into my vertical distance
dy=v1y*cos37* t +1/2 at^2
-39=v1*sin37*(1372/v1*cos37) + 1/2 (-9.81)(1372/v1*cos37)^2
Now this equation is where it gets tricky, I am not sure how to solve for v1.
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 at that point you should plug in to get rid of sin and cos so you are working with decimals and just follow order of operations. if you have a graphing calculator it would make life much easier but if not just plug and chug and go step by step as to not lose anything.

 Tags algebra, complex, hard, motion, projectile

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