At what velocity does the cannonball leaves the cannon?

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SUMMARY

The problem involves calculating the initial velocity of a cannonball fired at a 45.0° angle to achieve a horizontal distance of 500.0 meters. The key equations used include the vertical motion equation, dy = viy(t) + 4.9(t)^2, and the relationship between horizontal and vertical components of velocity, where vix = viy. The time of flight can be determined using the formula t = 500 / (vi * cos(45)), which is essential for deriving the initial velocity.

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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
 
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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...
 

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