SkyMotion.tools
Back
Classical Kinematics & Dynamics Engine

Motion, Mechanics & Gravity

Rigorous physics calculations for planetary gravitational free fall, vehicular braking distances across surface friction coefficients, and 2D parabolic projectile trajectories.

Free Fall Drop Time & Impact Velocity

Classical Newtonian Kinematics in Vacuum (NIST Reference CODATA)

t = √(2h / g) | v = √(2gh) = g · t
Quick Presets:
Time of Fall (Duration)g = 9.81 m/s²
1.428 s

Elapsed duration for an object to reach ground in vacuum from 10 m.

Terminal Impact Velocityv = √(2gh)
14.01 m/s
50.4 km/h31.3 mph

Drop Time Comparison Across Solar System (10.0m Drop)

t ∝ 1/√g
Earth (g = 9.81)1.43s • 50 km/h
Moon (g = 1.62)3.51s • 20 km/h
Mars (g = 3.71)2.32s • 31 km/h
Jupiter (g = 24.79)0.90s • 80 km/h
Venus (g = 8.87)1.50s • 48 km/h
Mercury (g = 3.7)2.32s • 31 km/h
Affiliate Disclosure: As an Amazon Associate, we earn from qualifying purchases at no additional cost to you (Amazon Tag: skymotion20-20).
Curated Laboratory & Study Equipment

Recommended Classical Mechanics & Physics Literature

Hand-selected peer-reviewed literature, optical instruments, and mechanics resources verified by physics educator Traian Anghel.

Theoretical PhysicsASIN: 0465024939
The Feynman Lectures on Physics, Vol. 1
Classic University Mechanics Text

The Feynman Lectures on Physics, Vol. 1

By Richard Feynman, Robert Leighton & Matthew Sands. Mechanics, radiation, kinetics, and heat.

University PhysicsASIN: 189138922X
Classical Mechanics by John R. Taylor
Highest-Rated Mechanics Textbook

Classical Mechanics by John R. Taylor

Clear, rigorous pedagogical treatment of Newton's laws, kinematics, momentum, and orbital mechanics.

Engineering PhysicsASIN: 1337553298
Physics for Scientists and Engineers
Comprehensive Problem-Solving Standard

Physics for Scientists and Engineers

By Raymond A. Serway & John W. Jewett. Comprehensive kinetic energy, work, and friction mechanics.

AdSense • InContent • AutoResponsive Layout Reservation (CLS 0.00)

Automotive Braking & Total Stopping Distance

AASHTO Geometric Highway Design & Newtonian Friction Model

d_total = d_reaction + d_braking = (v · t_react) + (v² / (2 · μ · g))
Speed Presets:
Total Stopping Distance
34.9 meters
Vehicle Equivalent7.8 Car Lengths
1. Perception & Reaction Distance60%
20.8 m

Distance traveled during 1.5s before pressing the brake pedal.

2. Physical Braking Distance40%
14.1 m

Tire friction work required to dissipate kinetic energy (v²/(2μg)).

Reaction: 20.8mBraking: 14.1m
Quadratic Kinetic Energy Law: Braking distance grows with the square of speed (v²). Doubling your speed from 50 km/h to 100 km/h quadruples (4×) your braking distance from 14.1m to 56.2m on Dry Asphalt.

Projectile Motion & Parabolic Trajectory

Classical 2D Kinematics in Vacuum (Halliday & Resnick)

R = (v² · sin(2θ)) / g | H_max = (v² · sin²(θ)) / (2g) | T = (2v · sin(θ)) / g
Launch Velocity (v₀)25 m/s
1 m/s90 km/h100 m/s
Launch Angle (θ)45°
5° (Flat)45° (Max Range)85° (Vertical)
Object Presets:
Parabolic Flight Trajectory
Apex: 15.9mImpact: 63.7m
Horizontal Range (R)
63.71 m

Total horizontal distance traveled until impact.

Maximum Height (H_max)
15.93 m

Peak vertical altitude at trajectory apex.

Flight Hang Time (T)
3.60 s

Total airborne duration from launch to ground.

AdSense • BelowFAQ • AutoResponsive Layout Reservation (CLS 0.00)
Affiliate Disclosure: As an Amazon Associate, we earn from qualifying purchases at no additional cost to you (Amazon Tag: skymotion20-20).
Curated Laboratory & Study Equipment

Recommended Classical Mechanics & Physics Literature

Hand-selected peer-reviewed literature, optical instruments, and mechanics resources verified by physics educator Traian Anghel.

Theoretical PhysicsASIN: 0465024939
The Feynman Lectures on Physics, Vol. 1
Classic University Mechanics Text

The Feynman Lectures on Physics, Vol. 1

By Richard Feynman, Robert Leighton & Matthew Sands. Mechanics, radiation, kinetics, and heat.

University PhysicsASIN: 189138922X
Classical Mechanics by John R. Taylor
Highest-Rated Mechanics Textbook

Classical Mechanics by John R. Taylor

Clear, rigorous pedagogical treatment of Newton's laws, kinematics, momentum, and orbital mechanics.

Engineering PhysicsASIN: 1337553298
Physics for Scientists and Engineers
Comprehensive Problem-Solving Standard

Physics for Scientists and Engineers

By Raymond A. Serway & John W. Jewett. Comprehensive kinetic energy, work, and friction mechanics.

Related Physics Tools

View All Calculators