Question

Define first equation of motion in detail.

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Answer 1

Answer:

v=u+at

where

v=final velocity

u=initial velocity

a=acceleration

t=time

hope it will help u

Answer 2

Answer:

$\huge{\pink{\green {\sf\boxed{v = u + at}}}}$

Step-by-step explanation:

$\bold{\underline {First\: Equation\: of \:Motion:}}$

The first equation of motion gives the velocity acquired by a body in time ${'t' }$.

Let us derive the first equation of motion.

Consider a body having initial velocity ${'u'}$ which is subjected to uniform acceleration ${'a'}$ for time ${'t'}$seconds such that the final velocity of the body becomes ${'v'}$.

Rate of change of velocity = $</strong><strong>\</strong><strong>bf</strong><strong>\</strong><strong>dfrac</strong><strong>{</strong><strong>v</strong><strong> </strong><strong>-</strong><strong> </strong><strong>u</strong><strong>}</strong><strong>{</strong><strong>t</strong><strong>}</strong><strong>$

Now, from the definition of acceleration, we get

Acceleration = $</strong><strong>\</strong><strong>dfrac</strong><strong>{</strong><strong>Change</strong><strong>\</strong><strong>:</strong><strong> </strong><strong>in</strong><strong>\</strong><strong>:</strong><strong> </strong><strong>velocity</strong><strong>}</strong><strong>{</strong><strong>Time</strong><strong> </strong><strong>\</strong><strong>:</strong><strong>taken</strong><strong>}</strong><strong>$

Acceleration = $\dfrac{Final \:velocity - Initial\: velocity}{Time\: taken}$

$</strong><strong>a</strong><strong>=</strong><strong>\dfrac{</strong><strong>v</strong><strong> </strong><strong>-</strong><strong> </strong><strong>u</strong><strong>}{</strong><strong>t</strong><strong>}$

${</strong><strong>at</strong><strong> </strong><strong>=</strong><strong> </strong><strong>v</strong><strong> </strong><strong>-</strong><strong> </strong><strong>u</strong><strong>}$

$</strong><strong>\</strong><strong>bf</strong><strong>{</strong><strong>v</strong><strong> </strong><strong>=</strong><strong> </strong><strong>u</strong><strong> </strong><strong>+</strong><strong> </strong><strong>at</strong><strong>}$

The first equation of motion has been derived. This first equation has four quantities in it, if any three are known the fourth can be calculated.

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