A helicopter is flying horizontally at $$8$$ $$m/s$$ at an altitude $$180$$ m when a package of emergency medical supplies is ejected horizontally backward with a speed of $$12$$ $$m/s$$ relative to the helicopter. Ignoring air resistance what is horizontal distance between the package and the helicopter when the package hits the ground?

Question

Infinity Learn · Accepted Answer

Time taken by package to reach the ground:T $$=$$ $$2$$×$$18010$$ $$=$$ $$6$$ s Horizontal distance travelled by helicopter in this time:$$8$$ x $$6$$ $$=$$ $$48$$ m.Velocity of package w.r.t ground $$=$$ $$12-8$$ $$=$$ $$4$$ $$m/s$$ in backward direction.Horizontal distance travelled by package in time T $$=$$ $$4$$× $$6$$ $$=$$ $$24$$ m.So horizontal distance between them $$=$$ $$48$$ $$+24$$ $$=$$ $$72$$ m

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