Deriving s(t) from a x-y plane

Thread starter Phys_Boi
Start date Jan 19, 2016
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deriving Plane

In summary, deriving s(t) from a x-y plane is the process of using a graph of position vs. time to determine the displacement of an object. This is important because it allows us to understand an object's motion and calculate its displacement, which is a crucial measurement in physics and other sciences. S(t) represents the displacement over time, while the x-y plane is a visual representation of an object's position over time. To calculate s(t) from a x-y plane, you need to find the area under the curve of the graph. This method is used in various real-life scenarios, such as calculating the distance traveled by a car, determining the position of a projectile, and understanding the motion of celestial bodies.

Jan 19, 2016

Phys_Boi

So if I'm given a coordinate plane that graphs the position of a particle, how do you get the s(t), in respect to time if given a table of time intervals.

Given:
f(x) = -x^2

Needed:
s(t)?
v(t)?
a(t)?

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Jan 20, 2016

Svein

Science Advisor

Insights Author

f(x) is an equation for the shape of the road. How fast you drive along that road is and entirely different question.

What is "Deriving s(t) from a x-y plane"?

"Deriving s(t) from a x-y plane" refers to the process of using a graph of position (x) vs. time (t) to determine the displacement (s) of an object over a period of time.

Why is it important to derive s(t) from a x-y plane?

Deriving s(t) from a x-y plane allows us to understand the motion of an object and calculate its displacement, which is an important measurement in physics and other sciences.

What is the difference between s(t) and x-y plane?

S(t) represents the displacement of an object over time, while the x-y plane is a graph that shows the position of an object at different points in time. S(t) is a single value, while the x-y plane is a visual representation of an object's position over time.

How is s(t) calculated from a x-y plane?

To calculate s(t) from a x-y plane, you need to find the area under the curve of the graph. This can be done by dividing the graph into smaller, known shapes (such as rectangles or triangles) and calculating their individual areas, then adding them together to find the total area. The total area will represent the displacement (s) of the object.

What are some real-life applications of deriving s(t) from a x-y plane?

Deriving s(t) from a x-y plane is used in many real-life scenarios, such as calculating the distance traveled by a car during a specific time interval, determining the position of a projectile in motion, and understanding the motion of planets and other celestial bodies in space.