Converting acceleration to velocity to displacement graph

Click For Summary
SUMMARY

This discussion focuses on the process of converting an acceleration vs. time graph to a velocity vs. time graph and subsequently to a displacement vs. time graph, specifically without using integrals. The key takeaway is that the area under the acceleration vs. time graph represents the change in velocity, while the area under the velocity vs. time graph represents the change in displacement. Participants emphasized the importance of understanding how to calculate these areas over time to create the respective graphs.

PREREQUISITES
  • Understanding of acceleration vs. time graphs
  • Knowledge of velocity vs. time graphs
  • Familiarity with the concept of area under a curve
  • Basic graphing skills
NEXT STEPS
  • Research methods for calculating areas under curves in physics
  • Learn about graphical representation of motion in kinematics
  • Study the relationship between acceleration, velocity, and displacement
  • Explore alternative techniques for graphing without integrals
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding the graphical representation of motion and its calculations.

captainsmith1
Messages
6
Reaction score
0

Homework Statement


the task is to explain how to find the velocity vs time graph from an acceleration vs time graph and how to find a displacement vs time graph from the resulting velocity vs time graph, without using an intergral.


Homework Equations





The Attempt at a Solution


i know that area must be used, and how to find the area, but i don't know how that is supposed to produce a graph
 
Physics news on Phys.org
Welcome to PF!

Hi captainsmith1! Welcome to PF! :wink:
captainsmith1 said:
the task is to explain how to find the velocity vs time graph from an acceleration vs time graph and how to find a displacement vs time graph from the resulting velocity vs time graph, without using an intergral.

i know that area must be used, and how to find the area, but i don't know how that is supposed to produce a graph

Easy-peasy …

the integral of a function equals the area between the curve of the function and the horizontal axis (and areas below count as negative) …

so just work out how the area depends on time, and then do a rough graph. :smile:
 
sorry this is over a month late but thanks a lot!
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
1K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 30 ·
2
Replies
30
Views
4K
  • · Replies 13 ·
Replies
13
Views
4K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 13 ·
Replies
13
Views
4K
Replies
1
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
7
Views
2K