Physics, asked by harsha8988, 9 months ago

what is instantaneous velocity, explain in own words

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Answered by drsinghsayana

Answer:

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Instantaneous velocity is the velocity of an object in motion at a specific point in time. This is determined similarly to average velocity, but we narrow the period of time so that it approaches zero. If an object has a standard velocity over a period of time, its average and instantaneous velocities may be the same...

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Answered by priyomrabhadas

Answer:

It is also defined as the derivative of the position vector with respect to time. Its expression is given by:

v→=limΔt→0v→avg=limΔt→0Δr→Δ t=dr→dt

where:

v→ : Instantaneous velocity vector. Its unit in the International System is meter per second ( m/s )

v→avg : Average velocity vector. Its unit of measurement in the International System is the meter per second ( m/s )

Δr− : Displacement Vector. Its unit of measurement in the International System is the meter ( m )

Δ t : Interval of time that tends to zero, that is, an infinitely small interval. Its unit in the International System is the second ( s )

Instantaneous velocity, or simply velocity, is defined as the limit of the average velocity when the time change approaches zero

The procedure to define the instantaneous velocity or, simply, the velocity of a body at a point A, consists in calculating the average velocity between A and a point as close to A as possible. This is the same as calculating the average velocity in an interval of time as small as possible. In the graph, you can see the position vector of the point A and of the rest of points B, C and D. These are r→A , r→B , r→C and r→D respectively. The displacement vectors between A and each of the points B, C and D are also represented. These are r→A , r→B , r→C and r→D respectively. As you can see in the above graph, as the second point gets closer to A the displacement vector get closer to becoming tangent to the trajectory at point A and its magnitude approaches the value of the distance traveled over the trajectory.

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what is instantaneous velocity, explain in own words