Question

Derive First Equation of motion. ​

Answer 1

Answer:

Derivation of First Equation of Motion by Graphical Method

The first equation of motion can be derived using a velocity-time graph for a moving object with an initial velocity of u, final velocity v, and acceleration a. In the above graph, The velocity of the body changes from A to B in time t at a uniform rate.

Answer 2

Question-

Derive the first equation of motion.

Answer-

Assuming that a body started with initial velocity “u” and after time t it acquires final velocity v due to uniform acceleration a.  

We know acceleration is defined as the rate of change of velocity, also which is given by the slope of the velocity-time graph.

Thus both from definition as well as graph  Acceleration = Change in velocity/Time Taken i.e. a = v-u /t or at = v-u

Therefore, we have: v = u + at