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-falling-1-Vertically-with-an-acceler

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Question Number 15832 by Tinkutara last updated on 14/Jun/17

$$\mathrm{A}\mathrm{passenger}\mathrm{in}\mathrm{a}\mathrm{train}\mathrm{moving}\mathrm{at}\mathrm{an}$$$$\mathrm{acceleration}a,\mathrm{drops}\mathrm{a}\mathrm{stone}\mathrm{from}\mathrm{the}$$$$\mathrm{window}.\mathrm{A}\mathrm{person},\mathrm{standing}\mathrm{on}\mathrm{the}$$$$\mathrm{ground},\mathrm{by}\mathrm{the}\mathrm{sides}\mathrm{of}\mathrm{the}\mathrm{rails},$$$$\mathrm{observes}\mathrm{the}\mathrm{ball}\mathrm{falling}$$$$\left(1\right)\mathrm{Vertically}\mathrm{with}\mathrm{an}\mathrm{acceleration}$$$$\sqrt{g^2+a^2}$$$$\left(2\right)\mathrm{Horizontally}\mathrm{with}\mathrm{an}\mathrm{acceleration}$$$$\sqrt{g^2+a^2}$$$$\left(3\right)\mathrm{Along}\mathrm{a}\mathrm{parabola}\mathrm{with}\mathrm{an}\mathrm{acceleration}$$$$\sqrt{g^2+a^2}$$$$\left(4\right)\mathrm{Along}\mathrm{a}\mathrm{parabola}\mathrm{with}\mathrm{an}\mathrm{acceleration}$$$$g$$

Answered by mrW1 last updated on 14/Jun/17

$$\mathrm{answer}\left(4\right)$$$$\mathrm{once}\mathrm{the}\mathrm{stone}\mathrm{is}\mathrm{droped},\mathrm{the}\mathrm{acceleration}$$$$\mathrm{of}\mathrm{the}\mathrm{train}\mathrm{has}\mathrm{no}\mathrm{influence}\mathrm{on}\mathrm{the}$$$$\mathrm{stone}.$$

Commented by Tinkutara last updated on 14/Jun/17

$$\mathrm{Thanks}\mathrm{Sir}!$$

Commented by ajfour last updated on 14/Jun/17

$$itsinitialvelocityisequalto$$$$thatofthetrainwhenitwas$$$$releasedfrom{passenger}^{\prime }shand$$$$soitwillmovebothforwardand$$$$downwardsalongaparabola..$$

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