Physics Puzzle #8 Mystery Cache

This is the eighth of a series of nine puzzles based on Kinematics or the study of motion.

Congratulations to denjoa for FTF honours.

This series of caches is reaching the end of its run.

I will be archiving them in August 2022

It is recommended, but not necessary, that you complete the puzzles in order as each puzzle will have an increasing level of difficulty. The puzzles in the series are

Physics Puzzle #1 (GC6XBGC)

Physics Puzzle #2 (GC6XDN0)

Physics Puzzle #3 (GC6XDXM)

Physics Puzzle #4 (GC6XK5Q)

Physics Puzzle #5 (GC6XMW4)

Physics Puzzle #6 (GC6XP3J)

Physics Puzzle #7 (GC6XXY3)

Physics Puzzle #8 (GC6XY1H)

Physics Puzzle #9 (GC6XY50)

The Lesson

For the final piece of the puzzle, the formula that you are given is missing time. You will be working with v₁, v₂, a, and d.

Example using this formula:

A bicyclist approaches the crest of a hill at 4.5 m/s. She accelerates down the hill at a rate of +0.40 m/s² covering a distance of 93.1 m. How fast is she going down the hill after accelerating?

The cyclist reaches a speed of 9.73 m/s.

The Puzzle

Read each of the following problems and solve as indicated. Enter the values in the space provided.

A plane is accelerated from a speed of 2.0 m/s at the constant rate of 3.0 m/s² over a distance of 530 m. What is its speed after travelling this distance? Round your answer to two decimal places.

___ ___.___ ___ (A B.C D)

Slowing a plane at the uniform rate of 7.9 m/s², a pilot stops the plane in 484 m. How fast was the plane going before braking began? Round your answer to two decimal places.

___ ___ .___ ___ (E F.G H)

A box falls off the tailgate of a truck while moving at 25.5 m/s and slides along the street. Friction slows the box at 4.7 m/s² until it comes to a stop. How far did the box slide while stopping? Round your answer to one decimal place.

___ ___.___ (J K.L)

A = __ B = __ C = __ D = __ E = __ F = __ G = __ H = __ J = __ K = __ L = __

The cache can be found at N 44° a b.c d e’ and W 078° f g.h j k’

Using your results from above, find values for the following. There is no connection between the upper case letters above and the lower case letters here.

a = (H)(J) - (F)(G): _____; b = (A)(C) - (D)(H): _____; c = √(G): _____;

d = E - F: _____; e = L^{(K - E)} + D: _____;f = E ÷ L: _____;

g = F - K + L: _____; h = (J + K) ÷ D: _____.

j = (A - C)^D: _____; k = (H - B)² + G: _____.

The cache is at: N 44° __ __ . __ __ __ ' and W 078° __ __ . __ __ __'

Due to concerns about being seen from the house across the road, I have moved the cache a wee bit to the east. For those that have solved the puzzle before May 10, 2017, add 0.003 to the north minutes and subtract 0.002 from the west minutes. After May 10, 2017 just use the coordinates from the puzzle