How to Derive Average Acceleration?
Acceleration formula can be easily found using integral method that includes:
a = dv/dt
Here dv is change in velocity, and dt is change in time. Integrating both sides of this equation, we get:
[Tex]\int_{v_{i}}^{v_{f}} adv~=~\int_{0}^{t}dt[/Tex]
Solving the integrals, we get
vf – vi = at
Rearranging terms yields the average acceleration formula:
a = (vf – vi)/t
This can be explained using the example added below as:
Find average acceleration from 0 sec to 6 sec
Time (Seconds) | Velocity (m/s) |
|---|---|
|
0 |
0 |
|
2 |
20 |
|
4 |
40 |
|
6 |
60 |
Solution:
- V(at 6 sec) = 60 m/s
- V(at 0 sec) = 0 m/s
- t = (6 – 0) sec = 6 sec
Average Acceleration(a) = {V(at 6 sec) – V(at 6 sec)}/t
a = (60 – 0)/6
a = 60/6 = 10 sec
Also, Check
Average Acceleration Formula
Average acceleration formula is the change in the velocity divided by the time interval. And the formula for the same is, the average acceleration formula = (change in velocity)/(time taken). Acceleration or average acceleration is measured in m/s2.
In this article, we will learn about, Average Acceleration Definition, Average Acceleration Formula, its Examples and others in detail.
Table of Content
- What is Average Acceleration?
- Average Acceleration Formula
- How to Derive Average Acceleration?
- Example on Average Acceleration Formula
- FAQs on Average Acceleration Formula
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