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
In any of these acceleration problems, when you are given three quantities, you can calculate the remaining two. In this puzzle, you will be working with v1, a, t, and d but not v2. The formula is different from the previous one in that time appears twice and it is squared in one of the occurences. That means that if you are asked to calculate time, you can end up having to use the quadratic equation (if v1 is not 0) so I won't have you do that!
Example using this formula:
An airplane starts from rest and undergoes a uniform acceleration of + 3.0 m/s2 for 30.0 s before leaving the ground. What distance does it cover during the 30.0 s?
The plane covers a distance of 1350 m.
The Puzzle
Read each of the following problems and solve as indicated. Enter the values in the space provided. Round your answers to one decimal place.
An engineer is to design a runway to accommodate airplanes that must gain a ground speed of 61 m/s before taking off. These planes are capable of being accelerated uniformly at the rate of +1.5 m/s2. If it takes 40.67s to achieve take-off speed, what must be the minimum length of the runway? Round off to the nearest metre.
___ ___ ___ ___ (A B C D)
The Tokyo Express is uniformly accelerated from rest at + 1.0 m/s2 for 1.2 min. How far does it travel during this time?
___ ___ ___ ___ (E F G H)
Starting from rest, a racing car covers a distance of 201 m in the first 5.0 s of uniform acceleration. What is the car's acceleration?
___ ___.___ ___ (J K.L M)
A = __ B = __ C = __ D = __ E = __ F = __ G = __ H = __ J = __ K = __ L = __ M = __
The cache can be found at N 44° a b.c d e’ and W 078° f g.h j k’
There is no connection between the upper case letters above and the lower case letters here.
a = E A: _____; b = (G + D) ÷ B: _____; c = GL: _____;
d = √(G): _____; e = F - D: _____;f = H E: _____;
g = L M: _____; h = G ÷ (E - J): _____.
j = C ÷ H: _____; k = G ÷ (A + M): _____.
The cache is at: N 44° __ __ . __ __ __ ' and W 078° __ __ . __ __ __'
You can check your answers for this puzzle on GeoChecker.com.