Did i do this right? distance vs time graph question

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In summary, when the slope of a distance vs time graph is 0, there is no motion. When the slope is constant, there is constant movement. And when the slope is changing, there is a change from motion to non-motion. When the position changes, there is velocity, and when the velocity changes, there is acceleration.
  • #1
BeckyStar678
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Homework Statement


what type of motion is occurring when the slope of a distance vs time graph is 0?
when slope is constant?
when slope is changing?


Homework Equations





The Attempt at a Solution


a.) there is no motion
b.) there is constant mvt
c.) change from mvt to non mvt.
 
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  • #2
BeckyStar678 said:

Homework Statement


what type of motion is occurring when the slope of a distance vs time graph is 0?
when slope is constant?
when slope is changing?

Homework Equations



The Attempt at a Solution


a.) there is no motion
b.) there is constant mvt
c.) change from mvt to non mvt.

You almost have it.

When position changes you have velocity.

When velocity changes you get what?
 
  • #3


Hello,

Thank you for reaching out. Based on your question, it seems like you are on the right track. In order to determine the type of motion occurring on a distance vs time graph, we must look at the slope of the graph. The slope represents the rate of change of distance with respect to time, also known as velocity.

When the slope of a distance vs time graph is 0, this means that there is no change in distance over time. In other words, the object is not moving and there is no motion occurring.

When the slope is constant, this means that the velocity is constant and the object is moving at a constant speed. This type of motion is known as uniform motion.

Lastly, when the slope is changing, this means that the velocity is changing and the object is accelerating or decelerating. This type of motion is known as non-uniform motion.

I hope this helps clarify the different types of motion that can occur on a distance vs time graph. Keep up the good work!
 

1. What does a distance vs time graph represent?

A distance vs time graph represents the relationship between distance traveled and time elapsed. It shows how the distance changes over time, allowing us to visualize the speed and direction of an object's motion.

2. How do I interpret a distance vs time graph?

To interpret a distance vs time graph, you can look at the slope of the line. A steeper slope indicates a faster speed, while a flatter slope indicates a slower speed. The direction of the line also indicates the direction of motion, with an upward slope representing motion in the positive direction and a downward slope representing motion in the negative direction.

3. What does a straight line on a distance vs time graph mean?

A straight line on a distance vs time graph means that the object is moving at a constant speed. The steeper the line, the faster the speed. A horizontal line indicates that the object is not moving, while a line with a negative slope means the object is moving in the opposite direction.

4. What does a curved line on a distance vs time graph mean?

A curved line on a distance vs time graph means that the object is accelerating or decelerating. The steeper the curve, the faster the acceleration or deceleration. A parabolic shape indicates constant acceleration or deceleration, while a concave or convex shape indicates changing acceleration or deceleration.

5. How can I use a distance vs time graph to calculate speed?

You can use a distance vs time graph to calculate speed by finding the slope of the line. The slope represents the change in distance over the change in time, which is the definition of speed. Make sure to pay attention to the units used, as it will affect the units of the calculated speed.

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