Question

derivation of first equation of linear equation motion​

Answer 1

First equation of Motion:

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V = u + at

soln.

Consider a body of mass “m” having initial velocity “u”.Let after time “t” its final velocity becomes “v” due to uniform acceleration “a”.

Now we know that:

Acceleration = change in velocity/Time taken

=> Acceleration = Final velocity-Initial velocity / time taken

=> a = v-u /t

=>at = v-u

or v = u + at

This is the first equation of motion.

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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