Free Fall Motion
Free Fall Motion - Related Videos
05:26
Using Motion Capture Technology in the Instrumented Timed Up and Go Test to Detect the Risk of Falling in Aged Adults
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Cited by 2 •
2024
The instrumented Timed Up and Go (iTUG) test is gaining increasing attention in body sway and gait analysis with the development of new technologies. We present a protocol to analyze the subcomponents of the iTUG with motion capture.
11:41
Kinematics and Projectile Motion
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2023
Source: Ketron Mitchell-Wynne, PhD, Asantha Cooray, PhD, Department of Physics & Astronomy, School of Physical Sciences, University of California, Irvine, CA This experiment demonstrates the kinematics of motion in 1 and 2 dimensions. This lab will begin by studying motion in 1 dimension, under constant acceleration, by launching a projectile directly upward and measuring the maximum height reached. This lab will verify that the maximum height reached is consistent with the kinematic...
01:05
Free-falling Bodies: Example
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2023
An object falling without any air resistance under the influence of gravitational force is said to be in free-fall. For free-falling bodies, the acceleration due to gravity is constant, irrespective of their mass. Free-fall is experienced not only by objects falling downward, but also by all objects whose motion is influenced by gravitational force alone. The dynamics of free-fall motion can be calculated using kinematic equations of motion, since free-fall acceleration is constant. The...
01:07
Free-falling Bodies: Introduction
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2023
All objects, neglecting air resistance, fall with the same acceleration towards the Earth's center due to the force exerted by the Earth's gravity. This experimentally determined fact is unexpected because we are so accustomed to the effects of air resistance and friction that we expect light objects to fall slower than heavier ones. People believed that a heavier object had a greater acceleration when falling until Galileo Galilei (1564–1642) proved otherwise. We now know this is not the case.
01:21
Repercussions of the Fall in Housing Prices I
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2026
The U.S. housing market began to weaken in 2006 after many years of rising home prices. During the housing boom of the early and mid-2000s, home construction increased rapidly. This increased the housing supply, but demand did not keep pace. As supply exceeded demand, housing prices began to fall.The decline in home values created serious problems for homeowners. Many had taken out large loans to purchase homes when prices were high. As home prices dropped, many homeowners became “underwater,”...
FAQs
The constant acceleration makes velocity change by equal amounts during equal time intervals. Mathematically, this uniform change allows velocity to be represented as a linear function of time, while position becomes a quadratic function because each time interval adds a different displacement. This distinction helps students recognize why height and velocity require different equation forms when solving a free-fall problem.
A coordinate convention determines how the equations are interpreted. If upward is chosen as positive, gravitational acceleration is negative; if downward is positive, it is positive. The physical motion does not change, but displacement, velocity, and acceleration signs must remain consistent. Checking the chosen direction before substituting values prevents sign errors in predicted height, speed, or impact time.
The velocity equation tracks the rate at which position changes, so it varies linearly with time under constant acceleration. The position equation tracks location and contains a time-squared term, producing the quadratic pattern described by the model. Using the velocity relation is useful for speed at a specified time, whereas the position relation addresses height or displacement.
To solve a problem, identify the known initial position, initial velocity, acceleration, and time-related quantity, then establish a positive direction and substitute consistent values into the appropriate motion equation. Solve algebraically for the requested variable, and interpret its sign and units. This workflow turns a verbal situation into a mathematical model that can be checked against the stated motion.
Choose the equation according to the information given and the quantity sought. A time-based velocity relation supports questions about speed after a specified interval, while a position relation supports height, displacement, or the time associated with reaching a location. Keeping initial conditions explicit is important because different starting positions or velocities produce different mathematical predictions.
In mathematics, Free Fall Motion provides a compact example of physical modeling: a real situation is simplified into variables, equations, and initial conditions. The model can predict height, speed, and impact time and serves as preparation for projectile motion and mechanics. Its conclusions apply under the stated approximation that air resistance is neglected and gravity remains approximately constant near Earth’s surface.