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Question

If we denote speed by S, the distance by D, and time by T, the relationship between these quantities is _______.


A

S = D × T

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B

T = S/D

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C

S = D/T

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D

S = T/D

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Solution

The correct option is C

S = D/T


Step 1: Definition of Speed :

  1. Speed can be defined as the rate of change in the position of an object in any direction.
  2. Speed can be measured as the ratio of distance by the time in which the distance was covered.
  3. We can say that it is a scalar quantity because it contains only direction and no magnitude.

Step 2: Explanation

Speed (S) = Distance(D) /Time(T)

Where,

  1. S is the speed in m.s-1
  2. D is the distance traveled in m
  3. T is the time taken in s

Speed is inversely proportional to the given time and suppose when the distance is constant then speed is inversely proportional to (1/T).

Thus, the relationship between these quantities is Speed (S) = Distance(D) /Time(T).


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