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Question Number 32191 by ajfour last updated on 21/Mar/18

Commented by ajfour last updated on 21/Mar/18

Find maximum distance from  foot of building where projectile  can land. (Ignore air resistance).

$${Find}\:{maximum}\:{distance}\:{from} \\ $$$${foot}\:{of}\:{building}\:{where}\:{projectile} \\ $$$${can}\:{land}.\:\left({Ignore}\:{air}\:{resistance}\right). \\ $$

Answered by Tinkutara last updated on 21/Mar/18

(u/g)(√(u^2 +2gH))

$$\frac{{u}}{{g}}\sqrt{{u}^{\mathrm{2}} +\mathrm{2}{gH}} \\ $$

Commented by ajfour last updated on 21/Mar/18

right but, process ?

$${right}\:{but},\:{process}\:? \\ $$

Commented by Tinkutara last updated on 21/Mar/18

Using equation of trajectory of a  projectile, forming a quadratic in  tan θ, then D≥0.

$${Using}\:{equation}\:{of}\:{trajectory}\:{of}\:{a} \\ $$$${projectile},\:{forming}\:{a}\:{quadratic}\:{in} \\ $$$$\mathrm{tan}\:\theta,\:{then}\:{D}\geqslant\mathrm{0}. \\ $$

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