Question

A car accelerates at 5 ms-2 from an initial velocity of 13 ms-1 over a distance of 100 m. Calculate the velocity at the end of the 100 m.

Answer 1

$\huge\sf\pink{Answer}$

☞ Final Velocity of the body at the end of 100 m is 34.20 m/s

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$\huge\sf\blue{Given}$

✭ Acceleration = 5 m/s²

✭ Initial velocity = 13 m/s

✭ Distance travelled = 100 m

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$\huge\sf\gray{To \:Find}$

◈ The Final Velocity of the body?

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$\huge\sf\purple{Steps}$

So here at first we may get an idea to use the second equation of motion but no time is given so we shall use the third equation of motion, that is,

$\underline{\boxed{\sf v^2-u^2 = 2as}}$

Substituting the given values,

➝ $\sf v^2-u^2 = 2as$

➝ $\sf v^2 - 13^2 = 2(5)(100)$

➝ $\sf v^2 - 169 = 1000$

➝ $\sf v^2 = 1000+169$

➝ $\sf v^2 = 1169$

➝ $\sf v = \sqrt{1169}$

➝ $\sf \orange{v=34.20 \ m/s}$

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☯ $\large\sf Know \ More$

»» Velocity is a vector qualitiy,that is it has both magnitude and direction

»» Velocity = Displacement/Time

»» SI unit of velocity is m/s

Other two equations

◕ $\sf v = u+at$

◕ $\sf s = ut+\dfrac{1}{2} at^2$

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