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Question

A hunter in a valley is trying to shoot a deer on a hill. The distance of the deer along his line of sight is 10181 meters and the height of the hill is 90 meters. His gun has a muzzle velocity of 100 m/s. Minimum how many meters above the deer should he aim his rifle in order to hit it? [g=10m/s2].
689027_b598af696eb4410cbe22e2266fe8131b.png

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Solution

Steps:
1) By Pythagoras Theorem,
Base ,x =
Target (deer ) is at :
y = 90m
x = 100 m
2) Equation of Trajectory /Equation of Path :
3) When
4) Hence ,there are two possibilites :
To hit the deer,hunter should aim his rifle 1810m or 10m above the deer to dircetly hit the deer.


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