Question

A passenger in a train moving at an acceleration 'a', drops a stone from the window. A person, standing on the ground, by the sides of the rails, observes the ball following:

• A. Vertically with acceleration $\sqrt{g^2+a^2}$
• B. Horizontally with an acceleration $\sqrt{g^2+a^2}$
• C. Along a parabola with acceleration $\sqrt{g^2+a^2}$
• D. Along a parabola with acceleration 'g'

Answer 1

The correct option is B Horizontally with an acceleration $\sqrt{g^2+a^2}$

Whatever may be the acceleration ${}^{\prime }{a}^{\prime }$ of the train, the moment when stone are released , it is given only a horizontal velocity due to inertia and not acceleration.

Thus, the stone talls along a parabola with acceleration ${}^{\prime }{g}^{\prime }$ downwards and dame horizontal velocity due to inertia of the stone.

Hence, the option $D$ is the correct answer.