Home / Topics / Kinematics
Effect of air resistance
Advanced
Drag shortens range and makes the path asymmetric.
projectileDrag opposes velocity, so the range and height are smaller, the path becomes asymmetric (steeper on the way down), and the best angle drops below 45°. Large, fast and light objects are most affected.
A cricket ball might go 70 m where vacuum theory says 90 m.
Vacuum formulas overestimate real range; they are only an approximation for dense, slow objects.
In more detail
Air resistance removes energy and changes the trajectory. The range and height are smaller than in the ideal case, and the optimal launch angle shifts below 45 degrees.
Real-world uses
- Sports balls such as golf balls use dimples to reduce drag and extend range.
- Ballistics and artillery designs must account for drag to hit targets.
- Badminton shuttlecocks and tennis balls slow down quickly in air, so real trajectories are shorter and steeper than the ideal parabola.
Open the interactive lesson, with simulation and quiz →
Frequently asked questions
Does air resistance matter for a bowling ball?
Less than for a feather. Its high density makes drag small compared with weight.
Is the path still symmetric?
No. The descent is steeper and shorter than the ascent when drag is included.
Is the ideal projectile formula still useful?
Yes, for short-range or dense objects. It gives a good estimate, but drag should be included when the speed is high or the object is light.
Related topics in Kinematics
Projectile on an incline · Trajectory equation · Velocity at any point of projectile · Relative velocity in 2D · River-boat problems · Rain and umbrella problem