Unravel the physics of projectile motion with our free online calculator. Accurately determine trajectory, range, maximum height, and time of flight for objects launched at any angle and initial velocity. Ideal for students, engineers, and anyone exploring kinematics problems.
Formula:
Projectile motion involves calculating the path of an object thrown into the air, subject only to gravity. Key formulas used are:
- Time of Flight (T):
T = (2 × v₀ × sin(θ)) / g - Maximum Height (H):
H = (v₀² × sin²(θ)) / (2 × g) - Horizontal Range (R):
R = (v₀² × sin(2θ)) / g
Where:
- v₀ = Initial velocity
- θ = Launch angle (with respect to the horizontal)
- g = Acceleration due to gravity (approximately 9.81 m/s² or 32.2 ft/s²)
- T = Total time the projectile is in the air
- H = Highest vertical point reached by the projectile
- R = Total horizontal distance covered by the projectile