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  • Understanding the Relationship Between Distance, Time, and Uniform Speed
    The ratio of distance to time remains constant for a body moving at uniform speed because uniform speed implies a constant rate of change of distance over time.

    Here's a breakdown:

    * Uniform speed means the body covers equal distances in equal intervals of time.

    * Distance is the total length covered by the body.

    * Time is the duration for which the body is moving.

    The ratio of distance to time gives us the speed:

    * Speed = Distance / Time

    Since the body moves at a constant speed, the distance covered is directly proportional to the time taken. This means if you double the time, you double the distance, and if you halve the time, you halve the distance. This relationship maintains a constant ratio between distance and time, resulting in a constant speed.

    Example:

    Imagine a car traveling at 60 km/h. This means:

    * In 1 hour, it covers 60 km.

    * In 2 hours, it covers 120 km.

    * In 3 hours, it covers 180 km.

    The ratio of distance to time remains constant:

    * 60 km / 1 hour = 60 km/h

    * 120 km / 2 hours = 60 km/h

    * 180 km / 3 hours = 60 km/h

    Therefore, for a body moving at uniform speed, the ratio of distance to time, which represents the speed, remains constant.

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