At what velocity does the cannonball leaves the cannon?

  • Thread starter Thread starter Conquest Ace
  • Start date Start date
  • Tags Tags
    Cannon Velocity
AI Thread Summary
To determine the velocity at which a cannonball leaves a cannon fired at a 45-degree angle and traveling 500 meters, the relationship between horizontal and vertical components of motion is crucial. The horizontal distance can be calculated using the equation t = 500/(vi*cos45), where t represents time. The vertical motion can be analyzed using dy = viy(t) + 4.9(t)^2, where viy is the initial vertical velocity. The discussion emphasizes that understanding the time of flight is key to finding the initial velocity in the vertical direction. Ultimately, the problem requires solving for the initial velocity based on the given parameters.
Conquest Ace
Messages
2
Reaction score
0
Yeah I cannot figure this out...

Homework Statement



.A cannon fires a cannonball 500.0m downrange when set at a 45.0o angle. At what velocity does the cannonball leaves the cannon?

Given Angle : 45
Distance: 500m
Vi : ?

Homework Equations



dy = viy(t)+ 4.9(t)^2

The Attempt at a Solution



Only thing I figured out is that vix = viy

and that t = 500/vicos45
 
Last edited:
Physics news on Phys.org
so if you know how long it was in the air, how long did it take the cannonball to get to its max height

if you know how long it took to get to the max height, then you can get the initial velocity in the y direction from that
 
SHISHKABOB said:
so if you know how long it was in the air, how long did it take the cannonball to get to its max height

if you know how long it took to get to the max height, then you can get the initial velocity in the y direction from that

I think time is irreleavent here...
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...

Similar threads

Back
Top