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Essay / Research Paper Abstract
A 5 page paper explaining both average and instantaneous velocities. The writer demonstrates the relationship between the derivative and these primary functions. Bibliography lists 4 sources.
Page Count:
5 pages (~225 words per page)
File: D0_Velocity.doc
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Unformatted sample text from the term paper:
is utilized frequently in physics to determine the rate of change within a particular function, it is evident that the derivative has a particularly important role in determining both average
and instantaneous velocity. In order to understand the impacts of the derivative on velocity, it is first necessary to comprehend the basic concepts of relative to velocity. Velocity in
itself is simply a vector quality. An object can be determined to have a specific velocity if there is some level of change at equal periods of time.
While constant velocity is represented by uniformity in motion, average velocity is a figure that determines the totality of change of an object during a given elapsed time, divided by
that time. Instantaneous velocity represents the given change or speed relative to a specified direction of motion along a plane. As objects move, the change their position,
and when they move along a given line, this motion can be determined as an element the function x(t)(Anonymous 1). The symbol t in this function is time and
the velocity can be determined in regards to specific time determinations. If the time changes, the function itself changes, as does the determination of velocity. Velocity is clearly
an elemental part of speed, which is always determined by distance relative to time (Speed=dt) (Anonymous 1). For average velocity, the total speed is then divided by the
number of second intervals studied in order to determine the average speed over a particular time interval. The average velocity then determines the net change in the position of
the object studied by relating the function x(t) to the change determined (Anonymous 1). The average velocity provides a basic understanding of the amount of change relative to the
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