Question Number 16152 by Tinkutara last updated on 18/Jun/17
$$\mathrm{In}\:\mathrm{long}\:\mathrm{jump},\:\mathrm{does}\:\mathrm{it}\:\mathrm{matter}\:\mathrm{how}\:\mathrm{high} \\ $$$$\mathrm{you}\:\mathrm{jump}?\:\mathrm{What}\:\mathrm{factors}\:\mathrm{determine}\:\mathrm{the} \\ $$$$\mathrm{span}\:\mathrm{of}\:\mathrm{the}\:\mathrm{jump}? \\ $$
Answered by ajfour last updated on 18/Jun/17
$$\:{it}\:{is}\:{the}\:{height}\:{that}\:{increases} \\ $$$${the}\:{time}\:{span}\:{to}\:{move}\:{forward}, \\ $$$${and}\:{a}\:{higher}\:{forward}\:{velocity} \\ $$$${takes}\:{a}\:{greater}\:{distance}\:{forward} \\ $$$${in}\:{a}\:{given}\:{time}\:{span}. \\ $$$${so}\:{initial}\:{velocity}\:{need}\:{be}\:{shared} \\ $$$${wisely}\:{along}\:{a}\:{forward}\:,\:{and}\:{a} \\ $$$${vertical}\:{component}. \\ $$
Commented by Tinkutara last updated on 19/Jun/17
$$\mathrm{Thanks}\:\mathrm{Sir}! \\ $$