Question

A train is travelling at a speed of 90km per hour . Brakes are applied so as to produce a uniform acceleration of -0.5 m s . Find how far the train will go before it is brought to rest?​

Answer 1

✯✯ QUESTION ✯✯

A train is travelling at a speed of 90km per hour . Brakes are applied so as to produce a uniform acceleration of -0.5 m s . Find how far the train will go before it is brought to rest?

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✰✰ ANSWER ✰✰

$\small{\boxed{\bold{\bold{\green{\sf{Given\:u\:(Initial\:Velocity)= 90 km}}}}}}$

$⇝\dfrac{90×5}{18}$

$⇝5 × 5 = 25 ms$

$\small{\boxed{\bold{\bold{\blue{\sf{⇝Acceleration(a) = {0.5 ms}^{2} \: (Given)}}}}}}$

$\large{\underline{\underline{\bold{\purple{\sf{V(Final\:Velocity) = 0}}}}}}$

As we know : -

${v}^{2}-{u}^{2} = 2as$

$s =\dfrac{v^{2}-u^2}{2a}$

$s = \dfrac{0-(25)^2}{2×(-0.5)}$

$s=\dfrac{625}{1}⟹625m.$

$\large{\underline{\underline{\bold{\pink{\sf{Answer:.625m.}}}}}}$

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Here : -

$\large{\underline{\underline{\bold{\blue{\sf{a = acceleration}}}}}}$

$\large{\underline{\underline{\bold{\red{\sf{u = initial\:velocity}}}}}}$

$\large{\underline{\underline{\bold{\green{\sf{v = final\:velocity}}}}}}$

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