Slingshot, need Position/time, acceleration and velocity formulas

AI Thread Summary
The discussion focuses on the formulas needed to calculate acceleration, position, and velocity for a slingshot launch, specifically for a water balloon launcher project. The user expresses confusion about where to start and seeks assistance with the relevant physics equations. They mention a formula for position involving initial velocity and acceleration but are unsure how to determine the acceleration and velocity for each phase of the balloon's trajectory. The project requires using Logger Pro software to analyze the launch, flight, and landing phases, emphasizing the need for accurate calculations to meet the assignment's requirements. The urgency of the deadline adds pressure to find the necessary information quickly.
anto3232
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Homework Statement


What is the acceleration,position,and velocity formula for the launch of a slingshot.


Homework Equations





The Attempt at a Solution


I just don't know where to start tbh... I really need help i put this off and its due tommorrow...
If someone could respond i can give more information you just have to be willing to help.
 
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One equation i saw was X(final)=X(initial)+V(initial i think)X t + 1/2 X a x t^2
 
Basically what me and my group (they arnt helping me) had to make some sort of water baloon launcher to hit our teacher 20m - 30m away, launching at 45 degrees.
We chose a Slingshot type of one, that's pretty ghetto but works.
Our launcher is 41 inchs high (1.04m) and what he wants us to do is for each of the three phases of the waterballoon (launch, flight, landing) he wants us to show the acceleration, position and velocity of each. All the while using Logger pro (program) to graph it.
logger pro is software that you put a video in mark a height that you know and plot points of the balloon which you can fit a certain line to the graph, quadratic in my case, and basically tell him the physics i used to find the acceleration, positionvs time and velocity of each phase...
HELP!
 
I found the formula i want to use to figure out my Position but i don't know what to put for Acceleration and Velocity.
b8jrpi.png
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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