Is this the right equation to use?

In summary, to find the time and velocity of a cannon ball fired at an angle above the horizontal, accounting for initial height, the equations y=y0+v0sin(φ)t - 1/2gt2 and vy=v0sin(φ) - gt can be used.
  • #1
magnifik
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0

Homework Statement


A cannon ball is fired with speed v0 at an angle phi above the horizontal. The launch point is at height h above the ground. Find the time to hit the ground, and the magnitude of the velocity when the ball hits the ground (in terms of v0, g, h, [tex]\phi[/tex])


Homework Equations


y=v0sin([tex]\phi[/tex])t - 1/2gt^2
vy=v0sin([tex]\phi[/tex]) - gt


The Attempt at a Solution


how do i account for initial height?
 
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  • #2
magnifik said:

Homework Equations


y=v0sin([tex]\phi[/tex])t - 1/2gt^2
vy=v0sin([tex]\phi[/tex]) - gt


The Attempt at a Solution


how do i account for initial height?

y=y0+v0sin(φ)t - 1/2gt2
 

1. How does the time of flight of a cannon ball affect its velocity?

The time of flight of a cannon ball does not directly affect its velocity. However, the longer the time of flight, the more air resistance and gravity will act on the ball, causing it to slow down.

2. How is the velocity of a cannon ball calculated?

The velocity of a cannon ball can be calculated using the formula v = √(2gh), where v is the velocity in meters per second, g is the acceleration due to gravity (9.8 m/s2), and h is the height of the cannon above the ground in meters. This formula assumes that air resistance is negligible.

3. Can a cannon ball ever reach a velocity of zero?

Yes, a cannon ball can reach a velocity of zero if it reaches its maximum height and then begins to fall back to the ground. At this point, the ball's velocity will decrease until it reaches zero at the highest point of its trajectory.

4. How does air resistance affect the velocity of a cannon ball?

Air resistance, also known as drag, acts in the opposite direction of an object's motion and can significantly slow down a cannon ball. The greater the surface area of the ball and the faster it travels, the more air resistance will affect its velocity.

5. Can the velocity of a cannon ball be changed mid-flight?

Yes, the velocity of a cannon ball can be changed mid-flight by altering the angle at which the cannon is fired or by adding external forces such as wind or propulsion. Additionally, air resistance and gravity will continue to affect the ball's velocity throughout its flight.

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