Projectile Motion given only x and y distance

[tbbtfan14]

Homework Statement

The question reads: Luke Skywalker is dropping a bomb down a ventilation shaft on the Death Star. The circular shaft has a diameter of 1m. When the bomb is released, Luke's X-wing start-fighter is 200m above the shaft's opening and 500m horizontally from the front edge of the opening. His ship is traveling at a velocity v0 at an angle θ
above the horizontal. If he wants the bomb to reach the front edge of the opening so that the bomb is moving toward a point on the other side of the shaft that is 10m below the opening, find the appropriate values of v0 and θ.

Homework Equations

Velocity in the y direction: vy = 10vx
x= x0 + ((v0)(cosθ))t
y = y0 +((v0)(sinθ))t + .5at^2


Constraints:
time > 30sec
θ > 70°
100 < (v0) < 200 m/s

The Attempt at a Solution

So far I am stuck at: 200 = 4.9t^2 +10((v0)(cosθ))t. I am trying to get an equation to solve for t, but I seem to end up with two variables (v0 and θ) in one equation when I try. Please help this is due tomorrow (9-18) at 10 am!

 

[azizlwl]

Maybe we try reverse position.
The origin of frame of refrence at side of the shaft.

y=u_yt -0.5at²
x=u_xt => t=x/u_x

y=uTanθ- 0.5a(x²/(u²Cos²θ)

2 unknowns and we have 2 points on the path equation.