Introduction
Using equations to find the maximum height and range of an object.
Past Knowledge
You can write parametric equations and evaluate trigonometric functions.
Today's Goal
We model projectiles with parametric equations, finding max height, range, and time of flight.
Future Success
Projectile motion applies to sports, engineering, and physics simulations.
Projectile Equations
Parametric Equations (no air resistance)
Maximum Height
Range (from h₀ = 0)
Interactive: Adjust Launch Parameters
Worked Examples
Example 1: Finding Max Height
A ball is launched at 30 m/s at 60°. Find max height (g = 9.8).
Example 2: Finding Range
Same ball. Find the range.
Example 3: Time of Flight
Find total flight time.
Common Pitfalls
Degrees vs radians - Match your calculator mode to your angle!
Wrong g value - Use 9.8 m/s² or 32 ft/s² consistently.
Real-World Application
Sports Analytics
Baseball, golf, and basketball all use projectile motion to analyze optimal launch angles and speeds.
Practice Quiz
Practice Quiz
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