Question

1. Derive mathematically the first equation of motion V=u + at?​

Answer 1

Answer :-

We know that,

Formula of acceleration :-

$\implies\sf a = \dfrac{v - u}{t}$

Transposing t on left side :-

$\implies\sf a \times t = v - u$

$\implies\sf at = v - u$

Transposing u on left side :-

$\implies\sf u + at = v$

Hence, we get the first equation of motion as -

$\implies\boxed{\bf v = u + at}$

where

• v is final velocity.
• u is initial velocity.
• a is acceleration.
• t is time taken.

Additional information :-

Second equation of motion :-

$\implies\sf s = ut + \dfrac{1}{2} at^2$

Third equation of motion :-

$\implies\sf v^2 = u^2 + 2as$

Equation for distance travelled in nth time :-

$\implies\sf S_{nth} = u + \dfrac{1}{2} a ( 2n - 1 )$

where -

• v is final velocity.
• u is initial velocity.
• a is acceleration.
• s is distance travelled.
• t is time taken.
• n is time.

Answer 2

Answer:

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