Kinematics with multiple objects

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SUMMARY

The discussion focuses on a kinematics problem involving two objects: a balloon dropped from a height of 580 meters and a potato fired from a cannon with an initial velocity of 95 m/s. The equations of motion used include vf=vi+at and x=vi*t+0.5at^2. The solution involves setting the equations for both objects equal to each other to find the time of collision, which was calculated to be approximately 9.684 seconds. The discussion emphasizes the importance of establishing a common reference point for measuring distances.

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  • Familiarity with the concept of acceleration due to gravity (9.81 m/s²)
  • Ability to solve quadratic equations
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Homework Statement


Mike is standing below a tower. His friend on top of the tower which is 580 m drops a balloon at him. At the instant mike fires a potato from a cannon moving at an initial velocity of 95 m/s. How long does it take for the balloon and potato to collide?


Homework Equations


vf=vi+at
vf^2=vi^2+2ax
x=vi*t+0.5at^2
x=0.5(vi+vf)t


The Attempt at a Solution


What i did is split it into 2 parts one for the balloon and potato. The potato equation was
x=95t+0.5(-9.81)t^2
And the balloon equation as
x=0.5(9.81)t^2
and then i set them equal to each other and solved.
I got t=9.684 s
 
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At t = 0 both the potato and balloon are at x = 0 do they both start at the same point? I think you want to measure distances from some common point, either at the bottom of the tower or at the top?
 

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