Distance and time is ever relational in a lot of phenomenon, but how do this two concept really relate with each other?
Let us take for example the following:
A car travels from point a to point b. From point a to b the measure between this two points is 10 meters. The car landed at point b from 0 seconds to 5 seconds.
Lets try graphing the distance and time together. Distance will be plotted at y-axis and time will be plotted at x- axis. (See attached figure 1)
From Figure 1 the following can be observed:
As distance increases, time also increases.
The graph indicates a slanting upward trend, which means that distance and time is directly proportional.
The relationship between Distance and Time²
For the second question regarding the relationship between distance and the square of time (t²) the graph would particularly show the relationship of velocity and time.
Velocity is the the distance traveled by an object in a span of time.
Acceleration is the velocity of an object in a span of time.
Let's take for example the same scenario above but let's square the time:
A car travels from point a to point b. From point a to b to c the measure between a to be is 10 meters and b to c is 15 meters. The car landed at point b from a at 0 seconds to 5 seconds, and point c at 20 seconds.
Lets try graphing the distance and time together. Distance will be plotted at y-axis and time² will be plotted at x- axis. (See attached figure 2)
it can be observed from the graph the following:
The slope between distance and the square of the time is increasing.
the relationship between distance an the square of time is directly proportional.
Acceleration can be measured by dividing distance (which is the rise of the graph) over the square of the time (the run on the x axis).
Hence, as velocity increases, acceleration also increases.
For more information regarding velocity and acceleration read on the link below:
Answers & Comments
The relationship between Distance and Time
Distance and time is ever relational in a lot of phenomenon, but how do this two concept really relate with each other?
Let us take for example the following:
A car travels from point a to point b. From point a to b the measure between this two points is 10 meters. The car landed at point b from 0 seconds to 5 seconds.
Lets try graphing the distance and time together. Distance will be plotted at y-axis and time will be plotted at x- axis. (See attached figure 1)
From Figure 1 the following can be observed:
As distance increases, time also increases.
The graph indicates a slanting upward trend, which means that distance and time is directly proportional.
The relationship between Distance and Time²
For the second question regarding the relationship between distance and the square of time (t²) the graph would particularly show the relationship of velocity and time.
Velocity is the the distance traveled by an object in a span of time.
Acceleration is the velocity of an object in a span of time.
Let's take for example the same scenario above but let's square the time:
A car travels from point a to point b. From point a to b to c the measure between a to be is 10 meters and b to c is 15 meters. The car landed at point b from a at 0 seconds to 5 seconds, and point c at 20 seconds.
Lets try graphing the distance and time together. Distance will be plotted at y-axis and time² will be plotted at x- axis. (See attached figure 2)
it can be observed from the graph the following:
The slope between distance and the square of the time is increasing.
the relationship between distance an the square of time is directly proportional.
Acceleration can be measured by dividing distance (which is the rise of the graph) over the square of the time (the run on the x axis).
Hence, as velocity increases, acceleration also increases.
For more information regarding velocity and acceleration read on the link below:
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brainly.ph/question/2170848
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