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establish the relation v = u + at​

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By definition of acceleration, we know that

Acceleration, a = Change in velocity / Time Taken

= (Final velocity – Initial velocity) / Time

= v-u/t

  • at = v–u or v = u+at

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acceleration = a

initial velocity = u

final velocity = v

time = t

[tex] \sf t_1 = time \: of \: initial \: velocity \\ \sf t_2 = time \: of \: final \: velocity[/tex]

As we know

[tex] \sf \red {a = \frac{v - u}{t_2 - t_1} }[/tex]

so further

[tex] \sf a = \frac{v - u}{t} \\ \\ \sf at = v - u \\ \\ \sf v = u + at[/tex]

If we will make a velocity-time graph we will observe a linear curve

as shown in attachment

View image Аноним
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