A person wants to shoot a rocket off of a mountain 3.26 km high so that the rocket, when shot at 31.3° above the horizontal from the very top of the mountain, lands at the foot of the mountain 9.37 km (horizontal distance) away. What initial speed must the rocket have? (Assume that the only force acting on the rocket after it is blasted from the top of the mountain is gravity.)
The Attempt at a Solution
I honestly don't know where to start, I've tried a variation of things and got nowhere :/
I'm trying to create formulas with vy and vx as vi sin 31.3 and vi cos 31.2 but I end up with the y side needing to use the quadratic formual with a vi variable in it and then I don't know how to solve it. Compared to the other questions given that also seems absurdly difficult. help?