Derive the second equution to motion
Answers
Answer:
s = ut + ½at²
Explanation:
s = ut + ½at²
Let the distance be “s”. We know that
Distance = Average velocity × Time. Also, Average velocity = (u+v)/2
Therefore, Distance (s) = (u+v)/2 × t
Also, from v = u + at, we have:
s = (u+u+at)/2 × t = (2u+at)/2 × t
s = (2ut+at²)/2 = 2ut/2 + at²/2
or s = ut +½ at²
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Answer:
Derivation of the equation of motion is one of the most important topics in Physics. Several important concepts in Physics are based on the equation of motion. In this article, the equation of motion derivations by the graphical method and by the normal method are explained in an easily understandable way for the first, second and third equation of motion.
It is first important to understand what is motion and its laws to understand the derivations better.
Following is the table explaining more concepts related to motion
Derivation of Equation of Motion
There are mainly three equations of motion which describe the relationship between velocity, time, acceleration and displacement.
First, consider a body moving in a straight line with uniform acceleration. Then, let the initial velocity be u, acceleration is denoted as a, time period is denoted as t, velocity is denoted as v, and the distance travelled is denoted as S.
The equation of motions derivation can be done in three ways which are:
Derivation of equations of motion by Simple Algebraic Method
Derivation of Motion by Graphical Method
Derivation of Motion by Calculus Method
Below, the equations of motion are derived by all the three methods in a simple and easy to understand way.
Derivation of First Equation of Motion
The first equation of motion is:
v = u + at