Derive the equations of motion graphically for uniformly accelerated motion.
Answers
pls follow the given pic
Answer:
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 be a, time period be t, velocity be v, and the distance travelled be 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
Derivation of First Equation of Motion by Algebraic Method
It is known that the acceleration (a) of the body is defined as the rate of change of velocity.
So, the acceleration can be written as:
a = v − ut
From this, rearranging the terms, the first equation of motion is obtained, which is:
v = u + at
Explanation: