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Related Concept Videos

Kinematic Equations - III01:18

Kinematic Equations - III

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The first two kinematic equations have time as a variable, but the third kinematic equation is independent of time. This equation expresses final velocity as a function of the acceleration and distance over which it acts. The fourth kinematic equation does not have an acceleration term and provides the final position of the object at time t in terms of the initial and final velocities. This equation is useful when the value of the constant acceleration is unknown.
Using the kinematic equations,...
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Kinematic Equations - II01:17

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The second kinematic equation expresses the final position of an object in terms of its initial position, the distance traveled with the initial constant velocity, and the distance traveled due to a change in velocity. Similar to the first kinematic equation, this equation is also only valid when the acceleration is constant throughout the motion of an object.
Suppose a car merges into freeway traffic on a 200 m long ramp. If its initial velocity is 10 m/s and it accelerates at 2 m/s2, then the...
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Kinematic Equations - I01:26

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When an object moves with constant acceleration, the velocity of the object changes at a constant rate throughout the motion. The kinematic equations of motions are derived for such cases where the acceleration of the object is constant. The first kinematic equation gives an insight into the relationship between velocity, acceleration, and time. We can see, for example:
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When analyzing one-dimensional motion with constant acceleration, the problem-solving strategy involves identifying the known quantities and choosing the appropriate kinematic equations to solve for the unknowns. Either one or two kinematic equations are needed to solve for the unknowns, depending on the known and unknown quantities. Generally, the number of equations required is the same as the number of unknown quantities in the given example. Two-body pursuit problems always require two...
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Kinematic Equations for Rotation01:30

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In mechanics, when one observes a rigid body in rotational motion with constant angular acceleration, it is possible to establish equations for its rotational kinematics. This process resembles how linear kinematics are dealt with in simpler motion studies.
For instance, imagine a point A on a rigid body engaged in circular motion. The translational velocity of this particular point can be calculated by taking the time derivatives of the displacement equation, which essentially measures the...
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Relative Motion Analysis using Rotating Axes01:25

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Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
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Related Experiment Video

Updated: Sep 16, 2025

An Inertial Measurement Unit Based Method to Estimate Hip and Knee Joint Kinematics in Team Sport Athletes on the Field
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Real-Time Open Source Kinematic Estimation with Wearable IMUs.

Chenquan Xu, Yuanshuo Tan, Zach Strout

    IEEE ... International Conference on Rehabilitation Robotics : [Proceedings]
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    Summary

    This study introduces real-time, full-body motion analysis using wearable inertial measurement units (IMUs) for accessible home rehabilitation. The system accurately captures movements, offering a viable alternative to traditional centers.

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    Area of Science:

    • Biomedical Engineering
    • Rehabilitation Technology
    • Human Motion Analysis

    Background:

    • Aging populations increase demand for healthcare services.
    • Traditional rehabilitation centers face barriers like cost, discomfort, and time.
    • Home-based rehabilitation requires effective, real-time kinematic monitoring.

    Purpose of the Study:

    • To develop and validate a real-time, full-body kinematic analysis system using wearable inertial measurement units (IMUs).
    • To assess the accuracy and latency of the developed system for various physical activities.
    • To provide a foundation for advanced home-based rehabilitation and motion assessment.

    Main Methods:

    • Utilized 12 wearable inertial measurement units (IMUs) for full-body kinematic data acquisition.
    • Performed real-time kinematic estimation at 20 Hz during diverse activities (walking, running, yoga, etc.).
    • Validated IMU-based estimations against optical motion capture and offline computations.

    Main Results:

    • Achieved high accuracy, with a median Root Mean Square Error (RMSE) of 5.4 deg for walking and 7.2 deg overall.
    • Demonstrated a mean RMSE of 1.0 deg compared to offline 100 Hz computations.
    • Reported a mean system latency of 44.1 ms from data acquisition to kinematic output.

    Conclusions:

    • The developed IMU-based system offers accurate, real-time full-body kinematic analysis suitable for home rehabilitation.
    • This technology can enable rapid assessment and real-time biofeedback, potentially improving patient outcomes and compliance.
    • It holds promise for revolutionizing rehabilitation in orthopedic and neurological conditions.