Acceleration of Gravity and Newton's Second Law

Calculate weight, velocity, and distance traveled for free-falling objects using Newton's Second Law and gravitational acceleration.

Acceleration of Gravity and Newton's Second Law

Newton's Second Law for gravity force (weight) is expressed as:

W = m × g

Where:

  • W = Weight/Gravity force (N)
  • m = Mass (kg)
  • g = Acceleration of gravity (9.81 m/s² or 32.174 ft/s²)

Free Falling Object Calculations

Velocity: v = g × t

Distance: s = ½ × g × t²

Time to fall: t = √(2s / g)

Calculator

Inputs

Results

Weight (W = m × g)-- N
Velocity (v = g × t)-- m/s
Distance Fallen (s = ½ × g × t²)-- m
Time to Fall from Distance (t = √(2s / g))-- s
Time (s)Velocity (m/s)Distance (m)Velocity (km/h)Velocity (ft/s)
19.84.935.332.2
219.619.670.664.3
329.444.110696.5
439.278.5141128.7
549.1122.6177160.9
658.9176.6212193
768.7240.3247225.2
878.5313.9283257.4
988.3397.3318289.6
1098.1490.5353321.7