# Emily's Fourth Hour Mystery Cache

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## Geocache Description:

THE ABOVE COORDINATES ARE FALSE! DO NOT GO THERE!

You must solve the puzzle below in order to get the actual coordinates

EMILY'S FOURTH HOUR: AP Physics

This is the fourth in a series of caches we are placing reflecting the class schedule of Emily, a member of this team. Emily is a junior in high school and has a pretty difficult schedule this year. She wanted to share some of her pain with all of you, hence this series of puzzle caches.

Fourth hour is AP Physics.

Coordinates are: N 33° ab.cde W 111° vw.xyz

You must solve the problems below in order to get the actual coordinates. Once the puzzle is solved, finding the cache should be relatively easy (though there are LOTS of muggles during business hours)

N 33° ab.cde

Team MamaLlama is racing out of the house to try to beat skraeling to an FTF. They hop into the Convertible Porche Corvette Hybrid Jaguar that the Little Llama drives, and zoom away. If their position as a function of time is given by the equation x(t) = 3.81t

W 111° vw.xyz

A 17 gram travel bug is fired from a gun with an original velocity of vwx m/s. It collides with a 1.9 kg tupperware covered in camo duct tape, giving the tupperware a velocity of 3.68684 m/s. As the travel bug approaches the second obstacle, an ammo can, it is moving 41.9412 m/s. It collides and passes through the ammo can, giving the can a velocity of .yz m/s, then the travel bug drops dead as soon as it leaves the can, its velocity reduced to 0 m/s. If the ammo can has a mass of 2.3 kg and all air resistance and mass removed by collisions is neglected, determine the original velocity of the travel bug and the velocity of the ammo can after the collision.

This is the fourth in a series of caches we are placing reflecting the class schedule of Emily, a member of this team. Emily is a junior in high school and has a pretty difficult schedule this year. She wanted to share some of her pain with all of you, hence this series of puzzle caches.

Fourth hour is AP Physics.

Coordinates are: N 33° ab.cde W 111° vw.xyz

You must solve the problems below in order to get the actual coordinates. Once the puzzle is solved, finding the cache should be relatively easy (though there are LOTS of muggles during business hours)

N 33° ab.cde

Team MamaLlama is racing out of the house to try to beat skraeling to an FTF. They hop into the Convertible Porche Corvette Hybrid Jaguar that the Little Llama drives, and zoom away. If their position as a function of time is given by the equation x(t) = 3.81t

^{3}+ 9.882t^{2}+ 18.6497t + 53.8946, determine the jerk, ab.cde, or how quickly the Convertible Porche Corvette Hybrid Jaguar's acceleration is accelerating. Carry it out to three places past the decimal.W 111° vw.xyz

A 17 gram travel bug is fired from a gun with an original velocity of vwx m/s. It collides with a 1.9 kg tupperware covered in camo duct tape, giving the tupperware a velocity of 3.68684 m/s. As the travel bug approaches the second obstacle, an ammo can, it is moving 41.9412 m/s. It collides and passes through the ammo can, giving the can a velocity of .yz m/s, then the travel bug drops dead as soon as it leaves the can, its velocity reduced to 0 m/s. If the ammo can has a mass of 2.3 kg and all air resistance and mass removed by collisions is neglected, determine the original velocity of the travel bug and the velocity of the ammo can after the collision.

**
Additional Hints**
(Decrypt)

zntargvp anab

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M

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N|O|P|Q|R|S|T|U|V|W|X|Y|Z