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
$$\mathrm{bomb}: \\ $$$$\mathrm{x}_{\mathrm{b}} =\mathrm{ut} \\ $$$$\mathrm{y}_{\mathrm{b}} =−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{gt}^{\mathrm{2}} \\ $$$$\mathrm{pilot}: \\ $$$$\mathrm{x}_{\mathrm{p}} =\mathrm{ut} \\ $$$$\mathrm{y}_{\mathrm{p}} =\mathrm{0} \\ $$$$\mathrm{bomb}\:\mathrm{seen}\:\mathrm{from}\:\mathrm{pilot}: \\ $$$$\mathrm{x}'=\mathrm{x}_{\mathrm{b}} −\mathrm{x}_{\mathrm{p}} =\mathrm{0} \\ $$$$\mathrm{y}'=\mathrm{y}_{\mathrm{b}} −\mathrm{y}_{\mathrm{p}} =−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{gt}^{\mathrm{2}} \\ $$$$\mathrm{that}\:\mathrm{means}\:\mathrm{seen}\:\mathrm{from}\:\mathrm{pilot}\:\mathrm{the}\:\mathrm{bomb} \\ $$$$\mathrm{is}\:\mathrm{just}\:\mathrm{in}\:\mathrm{free}\:\mathrm{fall}. \\ $$
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
$${a}\:{good}\:{question}\:{in}\:{reward}\:{will}\:{do}! \\ $$