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## Homework Statement

For a grade 12 physics project we have to stretch a spring along an inclined plane and then let go so that it hits a target. I know the mass of the spring, the angle of the incline, the height of the incline (how high the front of the spring would be off the ground before launching) the spring constant, and the distance from the target. Using this information, I need to figure out how much to stretch the spring to hit the target. How do I do this?

## Homework Equations

Es = (1/2)kx^2

Eg = mgh

Ek = 1/2mv^2

Fs = kx

Fnet = ma

d = 1/2(v1 + v2)t

v2 = v1 + at

d = v1t + (1/2)at^2

d = v2t - (1/2)at^2

v2^2 = v1^2 + 2ad

## The Attempt at a Solution

I have tried splitting the spring force into x and y components and then using that to find the acceleration, but that simple results in 2 variables (the acceleration and the amount the spring needs to be stretched). I have also tried using the different kinematic equations to try and find the velocity so that I can use it to find x by setting (1/2)kx^2 equal to (1/2)mv^2, but all of those equations either have v, t, or both as variables, and I am unable to solve for those.