Position, Velocity and acceleration

In summary, position, velocity, and acceleration are all related to the location and movement of an object in space. They are connected through calculus equations, with acceleration being the derivative of velocity and velocity being the derivative of position. An object can have a constant velocity and still have acceleration, as acceleration is defined as the change in velocity over time. On a position-time graph, acceleration is represented by the curvature of the line.
  • #1
smh745
7
0
Hi,

I'm new member and I would like to ask 2 questions:

1) Explain why an object too far from the motion detector will produce an incorrect distance reading?

2) Explain why we only consider one-dimesional motion when using a single motion detetor. Based on the definition of velocity, describe what you should observe in the velocity vs. time graph if you were measuring a stationary, distant object and you suddenly slid an object into the beam from the side.
 
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  • #2
Welcome.
Be aware that you are expected to first provide your attempt at these homework-type questions.
 
  • #3


Hello and welcome to our community! I would be happy to answer your questions about position, velocity, and acceleration.

1) An object that is too far from the motion detector will produce an incorrect distance reading because the motion detector relies on sound waves or light beams to detect the object's position. If the object is too far, the sound waves or light beams may not reach the object or may be too weak to be detected accurately. This can result in a distorted distance reading.

2) We only consider one-dimensional motion when using a single motion detector because the detector can only track movement in one direction. If we were to use multiple detectors, we could track motion in multiple directions and consider two or three-dimensional motion. When measuring a stationary, distant object and suddenly sliding an object into the beam from the side, the velocity vs. time graph would show a sudden increase in velocity as the object enters the beam. This is because velocity is defined as the rate of change of an object's position over time, so the sudden change in position would result in a sudden change in velocity. However, if the object continues to move at a constant speed, the graph would show a horizontal line indicating a constant velocity.
 

1. What is the difference between position, velocity, and acceleration?

Position refers to the location of an object in space at a specific time. Velocity is the rate at which an object's position changes with respect to time. Acceleration is the rate at which an object's velocity changes with respect to time.

2. How are position, velocity, and acceleration related?

Position, velocity, and acceleration are related through calculus equations. Acceleration is the derivative of velocity, and velocity is the derivative of position.

3. How is acceleration affected by velocity?

Acceleration is affected by velocity in that an increase in velocity results in a greater acceleration and a decrease in velocity results in a smaller acceleration.

4. Can an object have a constant velocity and still have acceleration?

Yes, an object can have a constant velocity and still have acceleration. This is because acceleration is defined as the change in velocity over time, so even if an object's velocity remains constant, it may still be accelerating if its direction or magnitude changes.

5. How is acceleration represented on a position-time graph?

Acceleration is represented on a position-time graph by the curvature of the line. A positive acceleration will result in a concave-upward curve, while a negative acceleration will result in a concave-downward curve.

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