Question

A train is travelling at a speed of 90 km/hr. 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

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Answer 2

Explanation:

ANSWER :

Given :

▪ Initial speed of train = 90kmph

▪ Retardation of train = 0.5m/s^2

To Find :

▪ Distance covered by train before coming at rest.

Concept used :

๏ This question is completely based on concept of stopping distance.

Formula Derivation :

✒ v^2 - u^2 = 2as

✒ (0)^2 - u^2 = 2(-a)s

✒ -u^2 = -2as

✒ s = u^2/2a

s denotes stopping distance

u denotes initial velocity

a denotes retardation

Conversion :

✳ 1kmph = 5/18mps

✴ 90kmph = 90×5/18 = 25mps

Calculation :

→ s = u^2/2a

→ s = (25)^2/(2×5)

→ s = 625/10

→ s = 62.5m

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