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Hello, i have to work out the velocity of a catapult which i had to do for my AS Quality of measurement coursework where I'm trying to find the optimum angle of launch.

A ball is fired from a catapult 0.5m above the ground, the ball hits the ground 1.45m away, the angle of launch is 45°. Calculate the velocity of the ball.

v^2= u^2 + 2as

Attempted it by plugging numbers into that equation but comes up with 37.6 m/s, whilst watching the catapult fire it took a few seconds to land so it couldn't be that fast, although after using Time = Distance/Speed it appears to be 3.9s which could be right but I'm not sure. Am I using the wrong equation i need to compare this to other angles but not sure what equation to use with angles.

**1. Homework Statement**A ball is fired from a catapult 0.5m above the ground, the ball hits the ground 1.45m away, the angle of launch is 45°. Calculate the velocity of the ball.

**2. Homework Equations**v^2= u^2 + 2as

**3. The Attempt at a Solution**Attempted it by plugging numbers into that equation but comes up with 37.6 m/s, whilst watching the catapult fire it took a few seconds to land so it couldn't be that fast, although after using Time = Distance/Speed it appears to be 3.9s which could be right but I'm not sure. Am I using the wrong equation i need to compare this to other angles but not sure what equation to use with angles.

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