Launch Parameters
Set velocity and launch angle to calculate trajectory.
Trajectory Path
Range
40.8 m
Height
10.2 m
Time
2.9 s
Understanding Projectile Motion
Projectile motion describes the path of an object launched into the air, affected only by gravity. The motion can be analyzed as two independent components: horizontal (constant velocity) and vertical (constant acceleration).
- No air resistance: The projectile moves through a vacuum or air resistance is negligible.
- Constant gravity: Standard gravity (g ≈ 9.81 m/s²) acts downward throughout the motion.
- Flat trajectory: The projectile lands at the same height from which it was launched.
Projectile Motion Guide Guide
How to Use
- 1Enter the **Initial Velocity** (speed) of the projectile.
- 2Enter the **Angle of Launch** (in degrees) relative to the horizontal.
- 3Optionally, input an **Initial Height** if launching from a platform.
- 4Click calculate to see the Range, Max Height, and Flight Time.
Formula & Logic
Projectile motion is a form of motion experienced by an object or particle that is projected near the Earth's surface and moves along a curved path under the action of gravity only.
Practical Applications
Sports Science
Analyze the trajectory of a basketball shot, golf drive, or football kick to optimize angle and force.
Engineering
Predict where an object dropped or launched from a mechanism will land.
Physics Problems
Solve classic 2D kinematics problems involving independent horizontal and vertical motion.
Frequently Asked Questions
Q.What is the optimal angle for maximum range?
In a vacuum (no air resistance) and launching from ground level, the optimal launch angle for maximum range is 45 degrees.
Q.Does mass affect projectile motion?
Ideally, no. In the absence of air resistance, mass does not affect the trajectory. A bowling ball and a golf ball would follow the same path if launched at the same speed and angle.
Q.What determines the time of flight?
The time of flight is determined primarily by the vertical component of the initial velocity and gravity. The higher you launch it vertically, the longer it stays in the air.