Position and time interval of a particle

In summary, the position of a particle refers to its location in space at a specific time and can be described using coordinates or with respect to a reference point. The time interval of a particle is the duration of time between two specific points in its motion, calculated by subtracting the initial time from the final time. The position of a particle can be measured using various methods, such as sensors or mathematical equations based on its velocity and time. The position and time interval of a particle are closely related, as the particle's movement results in changes in position over time, and the time interval can be used to calculate its velocity and acceleration. The velocity of a particle directly affects its position and time interval, with a higher velocity resulting in a larger change
  • #1
mrssmth
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Homework Statement


The position of a particle moving along the y-axis has a position given by y = 0.20m + (8.0m/s) t - (10 m/s2) t2. is there any time interval during which the particle is not moving?


Homework Equations





The Attempt at a Solution


I said No but I'm not sure why exactly it is never moving.
 
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  • #2
There is one instant when the particle is not moving. Find dy/dt and equate it to zero to get that instant.
 
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What is the position of a particle?

The position of a particle refers to its location in space at a specific time. It can be described using coordinates, such as x, y, and z, or with respect to a reference point.

What is the time interval of a particle?

The time interval of a particle refers to the duration of time between two specific points in its motion. It can be calculated by subtracting the initial time from the final time.

How is the position of a particle measured?

The position of a particle can be measured using various methods, such as using sensors, cameras, or by using mathematical equations to calculate its position based on its velocity and time.

What is the relationship between position and time interval of a particle?

The position and time interval of a particle are closely related. As the particle moves, its position changes over time, and the time interval between two points can be used to calculate its velocity and acceleration.

How does the velocity of a particle affect its position and time interval?

The velocity of a particle directly affects its position and time interval. A higher velocity results in a larger change in position over a shorter time interval, while a lower velocity results in a smaller change in position over a longer time interval.

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