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Projectile — trajectory
y = x tan θ − gx² / (2u² cos²θ)
Where: g = acceleration due to gravity (m/s²), θ = angle, u = initial velocity (m/s), x = displacement (m), y = Projectile — trajectory
Solved example
Given: g = 7, theta = 45°, u = 10, x = 4
Find: y (Projectile — trajectory)
- Formula: y = -g·x²/(2·u²·cos(θ)²) + x·tan(θ)
- Substitute the values: y = 4·tan(45°) - 4²·7/(2·10²·cos(45°)²)
- Result: y = 2.88
Answer: y = 2.88
Calculator
How to calculate Projectile — trajectory
- Write down the formula: y = x tan θ − gx² / (2u² cos²θ).
- Note the known values (g, θ, u, x).
- Substitute them and simplify to find y.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Projectile — trajectory?
The formula is y = x tan θ − gx² / (2u² cos²θ), where g = acceleration due to gravity (m/s²), θ = angle, u = initial velocity (m/s), x = displacement (m), y = Projectile — trajectory.
What is Projectile — trajectory when g = 7, theta = 45°, u = 10, x = 4?
y = 2.88. Substitute the values into y = x tan θ − gx² / (2u² cos²θ) and simplify.