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A train is moving along a straight lin...

A train is moving along a straight line with a constant acceleration a. A body standing in the train throws a ball forward with speed of 10 m `s^(-1)`, at an angle of `60^(@)` to the horizontal . The body has to move forward by 1.15 inside the train to catch the ball back at the initial height. The acceleration of the train is

Text Solution

Verified by Experts

The correct Answer is:
5
With respect to train:
Time of flight : `T=(2v_(y))/g=(2xx5sqrt(3))/10=sqrt(3)`
By using `s=ut+1/2 at^(2)`
we have `1.15=5T-1/2 aT^(@)rArr a=5 m//s^(2)`
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Knowledge Check

  • A train is moving along a straight line with a constant acceleration 'a' . A boy standing in the train throws a ball forward with a speed of 10 m//s , at an angle of 60(@) to the horizontal. The boy has to move forward by 1.15 m inside the train to catch the ball back at the initial height . the acceleration of the train , in m//s^(2) , is

    A
    3 m `s^(-2)`
    B
    5 m `s^(-2)`
    C
    8 m `s^(-2)`
    D
    6 m `s^(-2)`

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