Height of the two balls collision

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SUMMARY

The discussion centers on a physics problem involving two balls: Ball A, which is dropped from a height 'h', and Ball B, which is thrown upward from the ground. The key condition is that when they collide, the speed of Ball A is twice that of Ball B. To solve for the height at which the collision occurs, participants suggest using the equation of motion, specifically x1 = x0 + v0t - 1/2gt², and emphasize the importance of defining the vertical position variable as 'y' for clarity. The solution requires setting the position equations of both balls equal to each other to find the collision height.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of gravitational acceleration (g = 9.81 m/s²)
  • Ability to solve algebraic equations
  • Familiarity with the concept of relative velocity
NEXT STEPS
  • Study the derivation of kinematic equations for vertical motion
  • Learn how to apply the concept of relative velocity in collision problems
  • Practice solving problems involving simultaneous equations in physics
  • Explore graphical methods for visualizing motion and collision scenarios
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of motion and collision dynamics in a gravitational field.

larryboi7
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Homework Statement


Ball A is dropped from the top of a building of height 'h' at the same instant that Ball B is thrown vertically upward from the ground. When the balls collide, they are moving in opposite directions, and the speed of A is twice the speed of B. At what height does the collision occur?

Homework Equations


x1=x0 + volt - 1/2gt^2

I've been having a hard time with this. I just can't get it.
 
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larryboi7 said:

Homework Statement


Ball A is dropped from the top of a building of height 'h' at the same instant that Ball B is thrown vertically upward from the ground. When the balls collide, they are moving in opposite directions, and the speed of A is twice the speed of B. At what height does the collision occur?


Homework Equations


x1=x0 + volt - 1/2gt^2




I've been having a hard time with this. I just can't get it.

Usually you will use "y" for the vertical position variable (small point, but confusing otherwise).

Write an equation for the position of each ball as a function of time, and set them equal (that's where they collide in the y axis)... Please show us your work so that we can help you.
 

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