Question

a car is travelling at 20 km h -1 it speed upto 60 km h -1 in 6 sec .what is its acceleration

Answer 1

$\huge\sf\pink{Answer}$

☞ Acceleration of the car is 1.853 m/s²

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$\huge\sf\blue{Given}$

✭ Initial Velocity (u) = 20 km/h

✭ Final Velocity (v) = 60 km/h

✭ Time = 6 sec

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

◈ The acceleration of the car?

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$\huge\sf\purple{Steps}$

So here we are given the speed in km/h so we shall first convert it to m/s, that is,

➳ $\sf Initial \ Velocity= 20 \times \dfrac{5}{18}$

➳ $\sf \green{Initial \ Velocity = 5.55 \ m/s}$

Similarly

➳ $\sf Final \ Velocity = 60 \times \dfrac{5}{18}$

➳ $\sf \red{Final \ Velocity = 16.67 \ m/s}$

We know that,

$\underline{\boxed{\sf v=u+at}}$

Substituting the given values,

➝ $\sf 16.67 = 5.55 + a\times 6$

➝ $\sf 16.67-5.55=6a$

➝ $\sf 11.12 = 6a$

➝ $\sf \dfrac{11.12}{6} = a$

➝ $\sf \orange{1.853 \ m/s^2}$

☯ $\sf \underline{\textsf{Related Formulas}}$

»» $\sf s=ut+\dfrac{1}{2} at^2$

»» $\sf v^2-u^2 = 2as$

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