Free Fall Calculator

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Example

Created on 2024-06-20Asked by Abigail Mitchell (Solvelet student)

Calculate the time it takes for an object to fall freely from a height of 100 meters. Assume the acceleration due to gravity is

9.8 \, \text{m/s}^2

Solution

To calculate the time it takes for an object to fall freely from a height of 100 meters, we use the formula:

h = \frac{1}{2} g t^2

Given

h = 100

meters and

g = 9.8 \, \text{m/s}^2

100 = \frac{1}{2} \cdot 9.8 \cdot t^2

100 = 4.9 \cdot t^2

t^2 = \frac{100}{4.9}

t^2 \approx 20.41

t \approx \sqrt{20.41}

t \approx 4.52 \, \text{seconds}

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1. Calculate the time it takes for a ball dropped from a height of

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DefinitionFree fall Definition: The fall of an object without it being subject to any forces but gravity Objects in free fall have a constant acceleration towards the Earth, this is due to the gravitational force. Objects fall due to gravity with an acceleration of ~9.8m/s2 near the surface of the Earth accelerating them with increasing speed over time. Free fall is a reference frame to the laws of motion and the concept is used largely in the field of physics and engineering to analyse the trajectory of projectiles, orbits of celestial bodies and dynamics of falling objects. For example, if we simply let it go, when a ball is dropped from a height, it drops in free fall acceleration, accelerates under suspected gravity equal until it reaches the ground.

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