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Motion — Science STD 9 — Question

Gujarat BoardEnglish MediumSTD 9ScienceMotion3 Marks
Question
Derive the formula: v = u + at, where the symbols have usual meanings.
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Answer

Consider a body having initial velocity 'u'. Suppose it is subjected to a uniform acceleration 'a' so that after time 't' its final velocity becomes 'v'. Now, from the definition of acceleration we know that:

Acceleration $=\frac{\text{Change in velocity}}{\text{Time taken}}$

Or Acceleration $=\frac{\text{Final velocity-Initial velocity}}{\text{time taken}}$

So, $\text{a}=\frac{\text{v-u}}{\text{t}}$

$\text{at}=\text{v-u}$

and, $\text{v}=\text{u+at}$

Where,

v = final velocity of the body

u = intial velocity of the body

a = acceleration

and t = time taken

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