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Question Number 154853 by peter frank last updated on 22/Sep/21 Answered by peter frank last updated on 23/Sep/21 Commented by peter frank last updated on…
Question Number 89319 by Rio Michael last updated on 16/Apr/20 $$\:\mathrm{A}\:\mathrm{ball}\:\mathrm{is}\:\mathrm{projected}\:\mathrm{from}\:\mathrm{a}\:\mathrm{point}\:\mathrm{O}\:\mathrm{with}\:\mathrm{an}\:\mathrm{initial} \\ $$$$\mathrm{velocity}\:{u}\:\mathrm{and}\:\mathrm{angle}\:\theta\:\mathrm{with}\:\mathrm{the}\:\mathrm{horizontal}\:\mathrm{ground}. \\ $$$$\:\mathrm{Given}\:\mathrm{that}\:\mathrm{it}\:\mathrm{travels}\:\mathrm{such}\:\mathrm{that}\:\mathrm{it}\:\mathrm{just}\:\mathrm{clears}\:\mathrm{two}\:\mathrm{walls} \\ $$$$\mathrm{of}\:\mathrm{height}\:{h}\:\mathrm{and}\:\mathrm{distances}\:\mathrm{2}{h}\:\mathrm{and}\:\mathrm{4}{h}\:\mathrm{from}\:\mathrm{O}\:\mathrm{respectively}. \\ $$$$\left(\mathrm{a}\right)\:\mathrm{find}\:\mathrm{the}\:\mathrm{tangent}\:\mathrm{of}\:\mathrm{the}\:\mathrm{angle}\:\theta \\ $$$$\:\left(\mathrm{b}\right)\:\mathrm{The}\:\mathrm{time}\:\mathrm{of}\:\mathrm{flight}\:\mathrm{of}\:\mathrm{the}\:\mathrm{ball} \\ $$$$\left(\mathrm{c}\right)\:\mathrm{The}\:\mathrm{range}\:\mathrm{of}\:\mathrm{the}\:\mathrm{ball}. \\ $$…
Question Number 154854 by peter frank last updated on 22/Sep/21 Commented by Tawa11 last updated on 22/Sep/21 $$\mathrm{nice} \\ $$ Answered by mr W last…
Question Number 154851 by peter frank last updated on 22/Sep/21 Commented by peter frank last updated on 22/Sep/21 $$\mathrm{at}\:\mathrm{U}_{\mathrm{o}} ^{\mathrm{2}} \:\mathrm{m}/\mathrm{s}\:. \\ $$ Commented by…
Question Number 154549 by peter frank last updated on 19/Sep/21 $$\mathrm{A}\:\mathrm{particle}\:\mathrm{is}\:\mathrm{projected}\:\:\mathrm{with}\:\mathrm{velocity} \\ $$$$\mathrm{2}\sqrt{\mathrm{gh}}\:\:\:\mathrm{so}\:\mathrm{that}\:\:\mathrm{it}\:\mathrm{just}\:\mathrm{clears}\:\mathrm{two} \\ $$$$\mathrm{walls}\:\mathrm{of}\:\mathrm{equal}\:\mathrm{heigh}\left(\mathrm{h}\right)\:\:\mathrm{in}\:\mathrm{the} \\ $$$$\mathrm{t}_{\mathrm{1}} \:\mathrm{and}\:\mathrm{t}_{\mathrm{2}\:} \:\mathrm{respectively}.\mathrm{The}\:\mathrm{two} \\ $$$$\mathrm{walls}\:\mathrm{are}\:\mathrm{at}\:\mathrm{a}\:\mathrm{distance}\:\mathrm{of}\:\:\mathrm{2h}\:\:\mathrm{from} \\ $$$$\mathrm{each}\:\mathrm{other}.\mathrm{If}\:\mathrm{time}\:\mathrm{passing}\: \\ $$$$\mathrm{between}\:\mathrm{the}\:\mathrm{two}\:\mathrm{walls}\:\mathrm{is}\:\mathrm{2}\sqrt{\frac{\mathrm{h}}{\mathrm{g}}}…
Question Number 154547 by peter frank last updated on 19/Sep/21 $$\mathrm{A}\:\mathrm{particle}\:\mathrm{is}\:\mathrm{projected}\:\mathrm{inside}\:\mathrm{the}\:\mathrm{tunnel} \\ $$$$\mathrm{which}\:\mathrm{is}\:\mathrm{4m}\:\mathrm{high}.\mathrm{if}\:\:\mathrm{the}\:\mathrm{initial}\:\mathrm{speed} \\ $$$$\mathrm{is}\:\mathrm{V}_{\mathrm{o}} .\mathrm{show}\:\mathrm{that}\:\mathrm{the}\:\mathrm{maximum} \\ $$$$\mathrm{range}\:\mathrm{inside}\:\mathrm{the}\:\mathrm{tunnel}\:\mathrm{is}\:\mathrm{given} \\ $$$$\mathrm{by}\:\:\:\:\:\:\mathrm{R}=\mathrm{4}\sqrt{\mathrm{2}}\:\sqrt{\frac{\mathrm{V}_{\mathrm{o}} ^{\mathrm{2}} }{\mathrm{g}}−\mathrm{8}} \\ $$ Answered…
Question Number 88967 by ajfour last updated on 14/Apr/20 Commented by ajfour last updated on 14/Apr/20 $${A}\:{stick}\:{of}\:{length}\:\mathrm{2}{r}\:{slides}\: \\ $$$${against}\:{a}\:{fixed}\:{smooth}\:{cylindrical} \\ $$$${surface}.\:{It}\:{is}\:{released}\:{with}\:{one} \\ $$$${at}\:{A}\:\left({in}\:{tangential}\:{manner}\right), \\ $$$${and}\:{loses}\:{contact}\:{thereafter}\:{at}…
Question Number 88963 by Zainal Arifin last updated on 14/Apr/20 $$\mathrm{How}\:\mathrm{far}\:\mathrm{can}\:\mathrm{a}\:\mathrm{cyclist}\:\mathrm{travel}\:\mathrm{in}\:\mathrm{4}\:\mathrm{h} \\ $$$$\mathrm{if}\:\mathrm{his}\:\mathrm{average}\:\mathrm{speed}\:\mathrm{is}\:\mathrm{11}.\mathrm{5}\:\mathrm{km}/\mathrm{h}\:? \\ $$ Commented by MJS last updated on 14/Apr/20 $$\mathrm{seriously}? \\ $$$$…\mathrm{ok}:…
Question Number 88961 by Zainal Arifin last updated on 14/Apr/20 $$\mathrm{One}\:\mathrm{care}\:\mathrm{travels}\:\mathrm{due}\:\mathrm{east}\:\mathrm{at}\:\mathrm{40}\:\mathrm{km}/\mathrm{h}. \\ $$$$\mathrm{and}\:\mathrm{second}\:\mathrm{car}\:\mathrm{travels}\:\mathrm{north}\:\mathrm{at}\: \\ $$$$\mathrm{40}\:\mathrm{km}/\mathrm{h}.\:\mathrm{are}\:\mathrm{their}\:\mathrm{velocities}\:\mathrm{equal}? \\ $$ Commented by ajfour last updated on 14/Apr/20 $${No},\:{since}\:{directions}\:{are}\:{not}\:{same}.…