Question

v=u+at
please proofed that​

Answer 1

EXPLANATION:-

For proving this equation v= u + at In this equation

• v refers to - final velocity
• u refers to - initial velocity
• a refers to - accelartion
• t refers to - time

As we know that ,

Acceleration- The rate of change of velocity with respect to time is called acceleration that means

$Acceleration = \dfrac{Change\:in\: velocity}{Time}$

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

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

Do cross multiplication

$a(t) \: = v - u$

$at = v - u$

But we need v

Tranpose - u to L.H.S

$at + u = v$

$v = u + at$

Hence proved !

Know more formulae:-

$u = v - at$

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

$s = vt - \dfrac{1}{2} at {}^{2}$

$v {}^{2} - u {}^{2} = 2as$

$a = \dfrac{v {}^{2} - u {}^{2} }{2s}$

$s = \dfrac{v {}^{2} - u {}^{2} }{2a}$