Math Problem Statement
Une balle A est lancée vers le haut à partir du sol avec une vitesse v0A de norme v0A. Au bout d’un temps τ, une seconde balle B est lancée vers le bas à une vitesse v0B de norme v0B à partir d’un toit de hauteur H.
Solution
The image you've provided is related to a physics problem involving two balls, A and B, in motion. Let's break it down:
The Setup:
- Ball A is launched upwards from the ground with an initial velocity of magnitude .
- After a time , Ball B is launched downwards from a height with an initial velocity of magnitude .
The problem asks you to solve the following:
- Determine the equations of motion for both balls (position equations as a function of time).
- Find the time and position where the two balls collide.
- Find the velocity vectors of both balls at the moment of collision.
Would you like me to solve each part step by step for you?
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Math Problem Analysis
Mathematical Concepts
Kinematics
Equations of motion
Vector analysis
Formulas
y_A(t) = v0A * t - (1/2) * g * t^2
y_B(t) = H - v0B * t - (1/2) * g * t^2
Theorems
Laws of motion
Free fall
Suitable Grade Level
Grades 9-12