since time is not appriciably changing thus the direction is essentialy constant for the instance, and thus speed and velocity comes out to be equal.
The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp.
When we consider instaneous velocity, we take the velocity of the body at that very moment, i.e the velocity of the body in a very very short interval of time. During so short an interval it can be considered that the body doesnt change it direction ( or change in direction is negligible). When there is no change is direction then velocity is same as speed . Hence inst. velocity is same as inst. speed. But there is one small difference. You can consider the direction ( uniform) in instantaneous velocity but there is no meaning of the direction of instantaneous speed
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Moderation Team
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