shatabdi express starts from rest and attaina a velocity of 108km/h in 2min.if the acceleration is in uniform find displacement and acceleration
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Shatabdi Express starting from rest attains is velocity of 108 km per hour in 2 minutes assuming the acceleration to be uniform find the value of acceleration the distance travelled by the train for attaining this velocity
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- Acceleration of the train is 0.25m/s²
- Displacement of the train is 1.8km
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/s²
Now, calculating the displacement of the train .
Again using Kinematics Equation v² = u² + 2as
Putting 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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