- #1
600burger
- 64
- 0
Hey all,
Having trouble solving this one. Class is dynamics. 2D, constant accel.
Shooting a cannon at a point above the initial. Inital velocity is 400m/s
Cannon is at point A (origin) and we're shooting at point B @ (5000m, 1500m)
I'm asked to find the two thetas that satisfy.
So i got this so far, basicly the givens.
In the x:
ax = 0
vx = v0*cos(Θ)
x = v0*cos(Θ)*t
In the y:
ay = -g
vy = v0*sin(Θ)-gt
y = v0*sin(Θ)*t-(1/2)gt2
I tried to eliminate t is the y position equation by
1) solving x for t
2) subing into y(Θ,t) for t to get y(Θ)
3) solving for Θ
I can't get through solving for Θ. Can I use the quadradic equation on y(Θ) to solve for Θ? How do i do that?
Having trouble solving this one. Class is dynamics. 2D, constant accel.
Shooting a cannon at a point above the initial. Inital velocity is 400m/s
Cannon is at point A (origin) and we're shooting at point B @ (5000m, 1500m)
I'm asked to find the two thetas that satisfy.
So i got this so far, basicly the givens.
In the x:
ax = 0
vx = v0*cos(Θ)
x = v0*cos(Θ)*t
In the y:
ay = -g
vy = v0*sin(Θ)-gt
y = v0*sin(Θ)*t-(1/2)gt2
I tried to eliminate t is the y position equation by
1) solving x for t
2) subing into y(Θ,t) for t to get y(Θ)
3) solving for Θ
I can't get through solving for Θ. Can I use the quadradic equation on y(Θ) to solve for Θ? How do i do that?