1.

Shatabdi express starts from rest and attains a velocity of 108km/h in 2min . If acceleration is uniform fild acceleration and displacement of the train..

Answer»

Answer :

ACCELERATION of the train is 0.25m/s²

Displacement of the train is 1.8km

Explanation :

According to the QUESTION

It is GIVEN that ,

  • Initial velocity ,u = 0m/s
  • Final velocity ,v = 108×5/18 = 30m/s
  • Time taken ,t = 2min = 2*60 = 120s

we have to calculate the uniform acceleration of the train and displacement of the train .

Firstly we calculate the uniform acceleration of the train .

Using Kinematics Equation

  • a = v-u/t

Substitute the value we get

➾ a = 30-0/120

➾ a = 30/120

➾ a = 1/4

➾ a = 0.25m/s²

  • Hence, the acceleration of the train is 0.25m/

Now, calculating the displacement of the train .

Again using Kinematics Equation

  • = + 2as

Puttng all the values we get

➾ 30² = 0² + 2×0.25 × s

➾ 900 = 0 + 0.50 × s

➾ 900 = 0.50×s

➾ s = 900/0.50

➾ s = 1800m

➾ s = 1.8km

  • Hence, the displacement of the train is 1.8 kilometres.



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