the ratio of speed to velocity made by an object moving in a curved path is
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Answer. The ratio of speed to velocity made by an object moving in a curved path is greater than one. The mathematical formula to calculate the speed of a body is, Speed = Total travelled distance/Time. The mathematical formula to calculate the velocity of a body is, Velocity = Total displacement/Time.
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The ratio of speed to velocity made by an object moving in a curved path is ratio of greater inequality.
- For a curved path, the total travelling distance is greater than the total displacement. Because, the total travelling distance will be considered as the length of the curved path but the total displacement will be considered as the straight line distance between the ending and starting point of that curved path. So, the greater value of total travelling distance than the total displacement is self explanatory.
- Now, speed = total travelled distance/time and velocity = total displacement/time.
- Now, the time will be same in both cases, but due to greater value of the total travelled distance than of the total displacement we will get a greater magnitude for the speed than of the velocity.
- Now, if we create ratio of speed to velocity, we will have such a ratio where the antecedent is greater than consequent, and that's why it will be a ratio of greater inequality.
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