A cannon is fired at a target on a cliff that is 400 meters away. The cliff has an elevation of 150 meters relative to the cannon. The initial velocity of the cannonball is 100 m/s. Ignoring wind resistance calculate the two possible angles and their respective times.
A= -9.81 m/s^2
Time X = Time Y
Y= V_naught*sin(theta)*t - 0.5*a(t)^2
The Attempt at a Solution
0= -0.5*a(t)^2 + V_naught*sin(theta)*t -150
0= -0.5*a(400/100cos(theta))^2 + V_naught*sin(theta)*400/100cos(theta) -150
I get stuck here. I'm not really quite sure what to do next. I'm pretty sure I have to use the quadratic equation, but don't know how.