Can I Assume Yi is 0m in Projectile Motion Calculations?

  • Thread starter Thread starter EinsteinApple
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AI Thread Summary
In projectile motion calculations, it is acceptable to assume that the initial height (yi) is 0 meters if the launch and landing heights are the same, as indicated in the problem statement. The balloon is launched at a 45-degree angle with an initial speed of 35.0 m/s, resulting in both vertical and horizontal components of 24.75 m/s. To maintain consistency in calculations, both yf and yi must be measured from the same reference point. If the slingshot is held above ground, the launch height must be considered, but since the problem does not specify this, it can be assumed to be zero. Therefore, the assumption of yi being 0 is valid for solving the problem.
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Homework Statement


A man builds a slingshot that can launch water balloons. If he launches a water balloon at 45.0 degrees to the horizontal at a speed of 35.0 m/s, how far away will the balloon hit?

Homework Equations


xf=xi + vix t
vfy=viy+at
yf=yi + 1/2(viy+Vfy)t
yf=yi + viyt + 1/2at^2
vfy2 = viy2a + 2ay

The Attempt at a Solution

:

ti = 0
xi=0
yi = 0 (CAN I ASSUME THIS?)
viy = 24.75 m/s
vix = 24.75 m/s
ax=0m/s2
ay=0m/s2
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As long as you are consistent with the interpretation of the other given quantities, yes you can.
 
I just assumed that y2 = 0 because it hits the ground. Therefore, I assumed because he was holding the slingshot y1 couldn't equal 0.
Therefore if y1=0, then y2= a negative value because it's lower.
 
Is the balloon launched at some height above ground? What is that height?
When you write
EinsteinApple said:
yf=yi + 1/2(viy+Vfy)t
yi and yf need to be measured from the same point. That's what what I meant by "consistent".
 
The problem statement says nothing about the launch or landing height so you have to assume they are the same.
 
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