Integrating Kinematics for Velocity from Acceleration: A Simplified Approach

yup790
Messages
21
Reaction score
0
When you want to get velocity from accelleration i have been told you integrate.

Howver v=at and so surley you can just multiply each term in the accelleratin expression by t.

ie:
a=4-0.2t

Surley you can just:
v=(4-0.2t)t
v=4t-0.2t2
 
Physics news on Phys.org
The equation v=at is for the situation when the acceleration is a constant. If it is a function of t, you have to integrate. In that case the corresponding equation is dv=a(t)dt, which gives the infinitesimal change in velocity, dv during infinitesimal time interval dt when the acceleration function a(t) is known. When integrating over a finite time interval, you effectively add a large number of small velocity changes dv to get the total change in velocity, Δv.
 
Last edited:
Thank you. Is there any proof for this. I learn better when I understand the theory behind a topic.
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'
Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...
Back
Top