Catapult final (impact) velocity

AI Thread Summary
To calculate the impact velocity of a projectile from a catapult, the initial horizontal velocity remains constant, while the initial vertical velocity can be determined using kinematic equations. Knowing the total time the projectile is in the air allows for the calculation of the time to reach the highest point by dividing by two. At the peak, the vertical velocity is zero, and the vertical component of the impact velocity can be derived from the time of descent and acceleration due to gravity. By combining the horizontal and vertical velocity components using the Pythagorean theorem, the total impact velocity can be found. Understanding these principles is essential for accurate calculations in projectile motion.
Havenater23
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Homework Statement



I'm doing a catapult project and I have to calculate a few pieces of information.
The initial velocity of the release (horizontal and vertical components) , the time of the highest point, and velocity of impact of the object.

I know how to do all of these except find the velocity impact of the object. This is all on a horizontal plane, and I know the X initial horizontal velocity will stay the same, but how do I figure out the y initial vertical velocity?

I know that if I find those two components at the end, I can use Pythagoras to solve it.



Homework Equations





The Attempt at a Solution



Thanks, in advance
 
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If you know the total time a projectile is in the air, you can figure out how long it took to get to the top of it's trajectory (it's highest point) by just dividing by 2. [The projectile will take the same amount of time going up as down]. Then just solve for v_0 by using kinematic equations.
 
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