Path-of-the-bomb-released-from-an-aeroplane-moving-with-uniform-velocity-at-certain-height-as-observed-by-the-pilot-is-a-a-straight-line-b-a-parabola-c-a-circle-d-none-of-the-above-

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Question Number 16139 by Tinkutara last updated on 18/Jun/17

$$\mathrm{Path}\mathrm{of}\mathrm{the}\mathrm{bomb}\mathrm{released}\mathrm{from}\mathrm{an}$$$$\mathrm{aeroplane}\mathrm{moving}\mathrm{with}\mathrm{uniform}$$$$\mathrm{velocity}\mathrm{at}\mathrm{certain}\mathrm{height}\mathrm{as}\mathrm{observed}$$$$\mathrm{by}\mathrm{the}\mathrm{pilot}\mathrm{is}$$$$\left(a\right)\mathrm{a}\mathrm{straight}\mathrm{line}$$$$\left(b\right)\mathrm{a}\mathrm{parabola}$$$$\left(c\right)\mathrm{a}\mathrm{circle}$$$$\left(d\right)\mathrm{none}\mathrm{of}\mathrm{the}\mathrm{above}$$

Answered by mrW1 last updated on 18/Jun/17

$$\left(\mathrm{a}\right)$$

Commented by Tinkutara last updated on 18/Jun/17

$$\mathrm{Can}\mathrm{you}\mathrm{explain}\mathrm{please}?$$

Commented by mrW1 last updated on 18/Jun/17

$$\mathrm{bomb}:$$$${\mathrm{x}}_{\mathrm{b}}=\mathrm{ut}$$$${\mathrm{y}}_{\mathrm{b}}=-\frac{1}{2}{\mathrm{gt}}^2$$$$\mathrm{pilot}:$$$${\mathrm{x}}_{\mathrm{p}}=\mathrm{ut}$$$${\mathrm{y}}_{\mathrm{p}}=0$$$$\mathrm{bomb}\mathrm{seen}\mathrm{from}\mathrm{pilot}:$$$${\mathrm{x}}^{\prime }={\mathrm{x}}_{\mathrm{b}}-{\mathrm{x}}_{\mathrm{p}}=0$$$${\mathrm{y}}^{\prime }={\mathrm{y}}_{\mathrm{b}}-{\mathrm{y}}_{\mathrm{p}}=-\frac{1}{2}{\mathrm{gt}}^2$$$$\mathrm{that}\mathrm{means}\mathrm{seen}\mathrm{from}\mathrm{pilot}\mathrm{the}\mathrm{bomb}$$$$\mathrm{is}\mathrm{just}\mathrm{in}\mathrm{free}\mathrm{fall}.$$

Commented by Tinkutara last updated on 18/Jun/17

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

Answered by ajfour last updated on 18/Jun/17

Commented by mrW1 last updated on 18/Jun/17

$$\mathrm{what}\mathrm{for}\mathrm{a}\mathrm{nice}\mathrm{picture}!$$

Commented by Tinkutara last updated on 18/Jun/17

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

Commented by ajfour last updated on 18/Jun/17

$$agoodquestioninrewardwilldo!$$

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