Train With The Constant Acceleration

A train is moving along a straight line with constant acceleration \(a\). A body standing in the train throws a ball forward with a speed of \(10\text{ m/s}\) at an angle of \(60^\circ\) to the horizontal. The body has to move forward by \(1.15\text{ m}\) inside to catch the ball back at the initial height.Find the acceleration of train ( in \(\text{m/s}^2\)).

Details and Assumptions:
Take \(g =10 \text{ m/s}^2\) and use the estimation \( \sqrt{3} =1.73\).

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