Question

A train is moving with 108 km/h. On a straight track, receiving red signals its brakes are applied and it retards at the rate of 3 m/s2. Find the displacement?​

Answer 1

Explanation:

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Answer 2

Given:

The speed of the train =  108 km/h

The retarding acceleration = 3m/s²

To Find:

The displacement of the train

Solution:

The displacement of the train is 150m.

Since the train is deaccelerating with a uniform retarding acceleration,

We can apply the 3rd equation of motion in the given situtaion.

The final speed of the train must be 0m/s since it comes at rest.

Let s be the stopping distance traveled by train.

Applying the equation,

v² - u² = 2as

Substituting, a = -3m/s², v = 0m/s and u = 30m/s

(Conversion used: 108 km/hr = 108 X 1000/3600 m/s = 30m/s)

0² - 30² = 2 X -3 X s

or 900 = 6s

or s = 150m