How do you draw v-t, a-t and d-t graphs

  • Thread starter NeomiXD
  • Start date
  • Tags
    Graphs
In summary, the x-axis is used for the independent variable (time) and the y-axis is used for the dependent variable (velocity) in a v-t graph. The slope of a v-t graph represents acceleration. The shape of an a-t graph can indicate the motion of an object. The displacement from a d-t graph can be calculated by finding the area under the curve. A displacement-time graph shows the change in distance over time, while a position-time graph shows the actual position at different points in time.
  • #1
NeomiXD
31
0
I was wondering if someone can explain to me in detail on how to accurately draw a velocity-time graph and an a-t graph when the d-t graph is given.
 
Physics news on Phys.org
  • #2
If you differentiate the d-t function you get the v-t function.
The second derivative of the d-t funciton is the a-t function.
You just need to know how to draw the function after you solve for it.
 
  • #3
what if the d-t graph had a curved line? does the same thing apply?
 

FAQ: How do you draw v-t, a-t and d-t graphs

How do you determine the x and y axis for a v-t graph?

The x-axis is typically used for the independent variable, which in this case is time (t). The y-axis is used for the dependent variable, which in this case is velocity (v). This convention is used to show how velocity changes over time.

What does the slope of a v-t graph represent?

The slope of a v-t graph represents the acceleration of an object. This is because acceleration is the rate of change of velocity over time, and slope is the rate of change of a graph.

How do you interpret the shape of an a-t graph?

The shape of an a-t graph can tell us about the motion of an object. A flat line indicates that the object is not accelerating, while a positive slope indicates positive acceleration (speeding up) and a negative slope indicates negative acceleration (slowing down).

How do you calculate the displacement from a d-t graph?

The displacement from a d-t graph can be calculated by finding the area under the curve. This can be done by dividing the graph into smaller rectangles or triangles and calculating the area of each shape, then adding them together to find the total displacement.

What is the difference between a displacement-time graph and a position-time graph?

A displacement-time graph shows the change in distance from a starting point over time, while a position-time graph shows the actual position of an object at different points in time. This means that the slope of a d-t graph represents velocity, while the slope of a p-t graph represents displacement.

Back
Top