Math Problem Statement
A ball thrown into the air from a building 100 ft high travels along a path described by y = -1+1+100, where y is the height in feet and z is the horizontal distance from the building in feet. What is the maximum height the ball will reach?
Solution
The equation you provided is:
This simplifies to:
It appears that the equation doesn’t model the ball's parabolic trajectory properly. A typical equation for a ball's path is quadratic, like:
where is the height, is the horizontal distance, and the constants , , and describe the motion.
If you meant to provide such a quadratic equation and simply made a typo, please clarify it. However, if the equation truly simplifies to just , it means the ball remains at a constant height of 100 feet without rising or falling.
Let me know if you intended a different form of the equation!
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Math Problem Analysis
Mathematical Concepts
Quadratic Equations
Parabolic Motion
Formulas
Standard form of a quadratic equation: y = ax^2 + bx + c
Theorems
Vertex formula for a parabola
Suitable Grade Level
Grades 9-12
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