Question

derivation of equation of motion​

Answer 1

Answer:

Definition of Equations of Motion

There are three equations of motion that can be used to derive components such as displacement(s), velocity (initial and final), time(t) and acceleration(a). ... First Equation of Motion : v=u+at. Second Equation of Motion : s=ut+\frac{1}{2}at^2. Third Equation of Motion : v^2=u^2+2as.

Explanation:

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Answer 2

The equations of motion can be derived using the following methods:

Derivation of equations of motion by Simple Algebraic Method

Derivation of equations of Motion by Graphical Method

Derivation equations of Motion by Calculus Method

In the next few sections, the equations of motion are derived by all the three methods in a simple and easy to understand way.

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Derivation of First Equation of Motion by Algebraic Method !!!

We know that the acceleration of the body is defined as the rate of change of velocity.

Mathematically, acceleration is represented as follows:

a=v−ut

where v is the final velocity and u is the initial velocity.

Rearranging the above equation, we arrive at the first equation of motion as follows:

v= u + at

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