A jungle veterinarian with a blow-gun loaded with a tranquilizer dart and a sly 1.5-kg monkey are each a height h above the ground in trees a distance L apart. Just as the hunter shoots horizontally at the monkey, the monkey drops from the tree in a vain attempt to escape being hit.(adsbygoogle = window.adsbygoogle || []).push({});

What must the minimum muzzle velocity of the dart have been for the hunter to hit the monkey before it reached the ground?

This should be just algebra, no numbers to input. But I can't get it right.

I first find the time for the monkey to hit the ground. Which is sqrt (2h/g).

Then I use L=vi*t+1/2at^2

From there I get vi=(L-1/2at^2)/t

Substituting for time I get (L-.5*2h)/sqrt (2h/g)

But that's not right.

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# Help - shooting a monkey

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