Question

derive mathematically the first equation of motion

Answer 1

First equation of Motion:

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.

Answer 2

Answer:

Explanation:

Derivation :-

Let consider a body moving with initial velocity v, constant acceleration a, time t and final velocity v.

Then,

We know that,

Acceleration = Change of velocity/Time taken

⇒ a + v - u/t

⇒ at = v - u

⇒ v = u + at

Hence, derived.

Other equations :-

2nd equation,

s = ut + 1/2 at²

3rd equation,

v² - u² = 2as

Some Important Formulas :-

Speed or velocity = Distance/Time

Average velocity = Total distance/Total time taken

Derivation of 2nd equation of motion :-  [Click on link]

https://brainly.in/question/18083934