Free Fall Calculator

Introduction

We have seen objects in motion with constant acceleration. One example of an object with nearly constant acceleration is an object in free fall under the influence of the earth’s gravity. The free fall calculator will help you calculate the free fall velocity and distance quickly and easily.

When an object experiences free fall, the velocity of the object increases at a constant rate as it falls. We can calculate this velocity using the equations mentioned below.

All objects fall toward the earth with the same downward acceleration regardless of size or weight if other external forces like air resistance or friction do not act upon them.

How to use the Free fall Calculator?

Using the free fall calculator, you can calculate the free fall velocity, free fall initial velocity, free-fall time, and free-fall height depending upon the input values.

Free Fall Velocity

Similar to calculating the final velocity of the particle with constant acceleration, We can calculate the final velocity of objects in freefall using the following formula.

The variables in the free fall calculator include

Initial Velocity (v0) The velocity of the particle at t0

Acceleration due to gravity (g) The acceleration of the object due to gravity.

Time (t) The time interval for which the object is in free fall

Final Velocity (vt) The object’s final velocity in free fall at the time (t). We can calculate it by using the following formula

vt=v0+gtv_t = v_0 + g*t

Free Fall Velocity using Height

Similar to calculating the final velocity of the particle with constant acceleration, We can calculate the final velocity of objects in freefall using the following formula.

The variables in the free fall calculator include

Initial Velocity (v0) The velocity of the particle at t0

Acceleration due to gravity (g) The acceleration of the object due to gravity.

Time (t) The time interval for which the object is in free fall

Initial Height (x0) The initial height of the object must be greater than the final height

Final Height (xt) The final height of the object, after falling for certain time t

Final Velocity (vt) The final velocity of the object in free fall at time t. We can calculate it by using the following formula

vt=v02+2g(xtx0)v_t = \sqrt{v_0^2 + 2g(x_t - x_0)}

Free Fall Distance or Free Fall Height

We can calculate the fall distance or height of objects in freefall by inputting the values for the initial velocity and the time it takes for the object to fall. We can calculate it by using the following formula

The variables in the calculator include

Initial Velocity (v0) The velocity of the particle at t0

Acceleration due to gravity (g) The acceleration of the object due to gravity.

Time (t) The time interval for which the object is in free fall

Height (h) The height of fall or freefall distance covered by the object.

h=v0t+12gt2h = v_0 t + \normalsize \dfrac{1}{2}gt^2

What is Free Fall?

An object falling towards the earth under the influence of gravity is said to be in freefall.

At around the 4th century BC, Aristotle thought heavier objects fall faster than lighter ones. But, this isn’t true and was disproved by Galileo later on. He argued that an object would fall with a constant acceleration towards the earth independent of its weight.

Feathers fall slower than a ball because of air resistance, which is the opposing force to the downward force of the earth’s gravity. The friction between the feathers and the air is more significant, so they fall slowly, and the friction between the ball and the air is less, so they fall faster.

Objects in freefall can be an example of the motion of an object under constant acceleration, as we can take the acceleration due to gravity as approximately constant (gravity does vary with altitude and with the location on earth).

How is Free Fall Velocity Calculated?

The freefall velocity is calculated using the equations of motion of a particle with constant acceleration. We must replace acceleration (a) with acceleration due to gravity (g) of 9.806 m/s^2.

The freefall velocity is calculated by using the following formula

vt=v0+gtv_t = v_0 + gt

Where,

v0 → initial velocity of the object

g → acceleration due to gravity is usually taken as 9.806 m/s^2

t → the time interval of the object under freefall

vt → the object’s final velocity after the time (t) has elapsed.

How is Free Fall Velocity Calculated using Height?

We can calculate the freefall velocity of the object using the height from the surface of the earth by utilizing the following formula

vt=v02+2g(xtx0)v_t = \sqrt{v_0^2 + 2g(x_t - x_0)}

Where,

v0 → initial velocity of the object

g → acceleration due to gravity is usually taken as 9.806 m/s^2

x0 → initial height of the object before falling

xt → final height of the object after falling

vt → final velocity of the object at final height

How to calculate Free Fall Distance?

We can calculate the freefall distance or freefall height using the following formula

h=v0t+12gt2h = v_0 t + \normalsize \dfrac{1}{2}gt^2

Where,

v0 → initial velocity of the object

g → acceleration due to gravity, usually taken as 9.806 m/s^2

t → the time interval for which the object is in freefall.

The above equation is derived from the equations of motion under constant acceleration.

x=x0+v0t+12at2x = x_0 + v_0t + \normalsize \dfrac{1}{2}at^2

Where,

x0 → initial position

v0 → initial velocity

a → constant acceleration

t → the time interval where the particle is subjected to constant acceleration

Here, we don’t consider the initial position, and we take the acceleration as the acceleration due to gravity which is 9.806 m/s^2

FAQ

When will an object be in freefall?

An object is said to be in freefall when it is falling from a specific height under the influence of the earth’s gravity. It happens when an object is dropped or propelled upwards and is not influenced by other forces besides gravity.

How is the acceleration of an object in free fall determined?

The acceleration of an object in free fall is determined by the acceleration due to gravity, which is approximately 9.8 m/s^2 on the surface of the Earth. This value varies with location and altitude or depth and is also said to be greater at the poles.

How can the distance fallen during free fall be calculated?

The distance fallen during free fall can be determined using the equation, v0 is the initial velocity, t is the time, and g is the acceleration due to gravity.

d=v0t+12gt2d = v_0t + \normalsize \dfrac{1}{2}gt^2

Is free-fall motion affected by other forces?

Factors such as friction or air resistance might impact free fall motion. These forces may work to alter an object’s trajectory or slow it down.

How does air resistance affect the motion of an object in free fall?

Air resistance is the opposing force that acts to slow an object down in free fall. Air resistance interacts differently depending on the object’s shape. Skydivers use a parachute to slow their descent and safely land. We can minimize air resistance by making the shape more aerodynamic.

How are the concepts of free fall motion used in everyday life?

Free fall motion is used in various everyday applications, such as designing safe landing systems for aircraft and calculating the meteors’ trajectory toward the earth. Skydivers also use it to calculate the time of their fall and the point at which they must deploy their parachutes.

How does the acceleration due to gravity change at different locations on Earth?

The acceleration due to gravity is not constant and can vary depending on location, altitude, or depth. It’s stronger on the poles and weaker on the equator (about 0.18% less).

Author

hexacalculator design team

Our team blends expertise in mathematics, finance, engineering, physics, and statistics to create advanced, user-friendly calculators. We ensure accuracy, robustness, and simplicity, catering to professionals, students, and enthusiasts. Our diverse skills make complex calculations accessible and reliable for all users.