Question

describe equations of motion by analytical method​

Answer 1

Analytical method to derive 1st eq. of motion: Suppose a body is moving with an initial velocity (u) with an uniform acceleration (a) for time (t). ... Suppose, a body is traveling with a initial velocity (u) with an uniform acceleration (a) for time (t).

Answer 2

Explanation:

The following are the three equation of motion: First Equation of Motion : v=u+at.

Second Equation of Motion : s=ut+12at2.

Third Equation of Motion : v2=u2+2as.

Analytical method to derive 1st eq. of motion: Suppose a body is moving with an initial velocity (u) with an uniform acceleration (a) for time (t). ... Suppose, a body is traveling with a initial velocity (u) with an uniform acceleration (a) for time (t).

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