At what velocity does the cannonball leaves the cannon?

In summary, the given information is that a cannon fires a cannonball 500.0m downrange at a 45.0o angle, and the question is what velocity the cannonball leaves the cannon. The equation dy = viy(t)+ 4.9(t)^2 can be used to solve for the initial velocity in the y direction, and it is noted that vix = viy. The time does not seem to be relevant in this problem.
  • #1
Conquest Ace
2
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:
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  • #2
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
 
  • #3
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...
 

Related to At what velocity does the cannonball leaves the cannon?

1. What is the initial velocity of the cannonball when it leaves the cannon?

The initial velocity of the cannonball when it leaves the cannon depends on several factors, including the angle at which the cannon is fired, the weight and size of the cannonball, and the force applied by the explosion. However, in a controlled environment, the initial velocity can be calculated using the laws of physics.

2. How does the velocity of the cannonball affect its trajectory?

The velocity of the cannonball plays a crucial role in determining its trajectory. As the velocity increases, the cannonball will travel further and higher before eventually falling to the ground due to the force of gravity. The angle at which the cannonball is fired also affects its trajectory.

3. Is there a maximum velocity that a cannonball can reach when fired from a cannon?

Yes, there is a maximum velocity that a cannonball can reach when fired from a cannon. This maximum velocity is known as the muzzle velocity and is dependent on the type of cannon, the weight of the cannonball, and the amount of gunpowder used to propel the cannonball.

4. How does air resistance affect the velocity of the cannonball?

Air resistance, also known as drag, can slow down the velocity of the cannonball as it travels through the air. The shape and size of the cannonball can also affect the amount of air resistance it experiences. Generally, the larger and less aerodynamic the cannonball, the greater the air resistance and the slower the velocity will be.

5. Can the velocity of a cannonball be increased by modifying the cannon or the cannonball itself?

Yes, the velocity of a cannonball can be increased by modifying the cannon or the cannonball itself. For example, a more powerful explosion or a larger cannonball can increase the velocity. Additionally, making the cannonball more aerodynamic can help reduce air resistance and increase its velocity.

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