Question

establish the formula v=u+at​

Answer 1

Answer:

$\huge\bold\red{\mathfrak{Derivation:-}}$

V= U+AT

is the first equation of motion. I

It gives velocity acquired by body in time t.

__________________

Consider a body having intial velocity 'u' .Suppose it is subjected to a uniform acceleration 'a' so that after 't' its final velocity becomes 'v' .Now ,from he definition of acceleration we know that:

$\bold\blue{\mathbb{acceleration = \frac{changeinvelocity}{timetaken}}}$

or

$\huge\bold\blue{\mathbb{a = \frac{v-u}{t}}}$

$\bold\blue{\mathbb{》at = v-u}}$

$\bold\blue{\mathbb{》v= u + at}}$

where,

v = final velocity of the body

u = Initial velocity of the body

a = acceleration

t = time taken

Answer 2

Answer: The first equation of motion conveys, “Acceleration is the rate of change of velocity”. If 'u' is the initial velocity of an object, 'v' is the final velocity attained by the object after 't' seconds of time, then acceleration 'a' is given by

Explanation: a = Change in velocity/Time taken

                       a = (Final velocity - Initial velocity)/Time taken

                       a = (v-u)/t

                      at = (v-u)

                     => v = u+at