Question

Check whether the relation s = ut + 1/2at² is dumensionalky correct ir not

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Answer 1

Explanation:

refer to the above attachment

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Answer 2

Answer:

Explanation:

We know that, Average\quad Velocity\quad =\quad \frac { total\quad distance\quad travelled }{ total\quad time\quad taken }

Average\quad Velocity\quad =\quad \frac { S }{ t }

Average velocity is also written as { u }+{ \frac { v }{ 2 } }

By equating both the above equations

\frac { S }{ t } =u+\frac { v }{ 2 }

We know that , "first equation of motion" v = u+at

By substituting the value of 'v' in equation 1, we get

\frac { S }{ t } ={ u }+\frac { { u }+{ at } }{ 2 }

By simplifying, S=\left( \frac { 2u+at }{ 2 } \right) t

S=\frac { 2ut+a{ t }^{ 2 } }{ 2 }

{ S }={ ut }+\frac { 1 }{ 2 } { at }^{ 2 }

The above equation is the second equation of motion.