> How do you calculate the range of a projectile from a catapult?

How do you calculate the range of a projectile from a catapult?

Posted at: 2015-01-07 
range of object projected at an angle θ



R = (V2/g)sin(2θ)



V is initial velocity in m/s



g is the acceleration of gravity 9.8 m/s2



Time of flight = R/(Vcosθ)



Max height



h = (V2/2g)sin2θ

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As it's for a uni project, your calculus might be be up to using the principle of least action to derive formulae from 1st principles....

http://www.eftaylor.com/software/ActionA...

www.scholarpedia.org/article/Principle_...

I have this project for university, where we will be given a target between 1 and 10 meters from the catapult. We will be told the distance to the target and the mass of the projectile a few minutes before the shot. Can you give me any way to make a start on which formulae to use and why in order to calculate this? Thanks