In distance-speed relations, we will learn about the Distance formula. We will also see velocity formula. The problems that are from this section base themselves on the concepts and definitions of terms that measure distance, speed and time. Here we will see many examples from this section, we will introduce the important concepts like the Distance formula, the velocity formula etc. We will also solve questions based on the Distance formula and the other relevant formulae. Let us start! Distance Formula – Distance/Speed Relation
First, we will collect all the formulae that we shall use to solve the examples ahead. Let us define the terms that will appear in the formulae. Let us say that an object starts moving from point A. The motion means that it changes its position with respect to some fixed point in its surroundings.
Distance
The distance is the actual length of the path that the object travels.
Displacement
The displacement is the shortest distance between the initial position and the final position of the journey. For example, if an object goes in a circle and returns to its initial position, then its displacement is zero while its distance is not. In general, we say that distance is either greater than or equal to the displacement of an object. The displacement can never be smaller than the distance.
Velocity Formula
The velocity is the time rate of change of displacement. If ‘S’ is the displacement of an object in some time ‘T’, then the velocity is equal to, v = S/T. The units of velocity are m/s or km/hr.
Speed:
The speed is the time rate of change of the distance. If ‘D’ is the distance of an object in some time ‘T’, the speed is equal to, s = D/T. It has the same units as velocity. let us solve some examples, we will introduce the formulae as we go along.
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