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

  • Thread starter EinsteinApple
  • Start date
In summary, a man is trying to find the distance a water balloon will travel after being launched at 45.0 degrees to the horizontal with a speed of 35.0 m/s from a slingshot he built. Using various equations, including xf=xi + vix t and vfy2 = viy2a + 2ay, the man is able to determine the distance by assuming a launch and landing height of 0 and being consistent with his interpretation of the given quantities.
  • #1
EinsteinApple
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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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  • #2
As long as you are consistent with the interpretation of the other given quantities, yes you can.
 
  • #3
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.
 
  • #4
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".
 
  • #5
The problem statement says nothing about the launch or landing height so you have to assume they are the same.
 

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