Derive an equation $v = u + a t$ .

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Solution

According to the first equation of motion $v = u + a t$
Proof
Consider a body of mass “m” having initial velocity “u”.Let after time “t” its final velocity becomes “v” due to uniform acceleration “a”.

Now we know that:
Acceleration = $\frac{C h a n g e i n v e l o c i t y}{t i m e}$
Or, $a = \frac{v - u}{t}$
After rearranging
$v - u = a t$
$O r, v = u + a t$
Hence proved.

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Similar questions

(2 a s = v^{2} - u^{2})

(v^{2} - u^{2} = 2 a s)

(v = u + a t

s = u t + \frac{1}{2} a t^{2})

v = u + a t

Derive following equations for a uniformly accelerated motion :

(i) v=u+at

(ii) $S = u t + \frac{1}{2} a t^{2}$

(iii) $v^{2} = u^{2} + 2 a S$

where the symbols have their usual meanings.

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