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Linear Motion 1
An object travels N feet in the first second of travel, N feet again during the second second of travel and N feet again during ...

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Basic Mathematics 5
The total area of all four equal sections of the game field is N ft². Each section has a rectangle of dimensions X ft x Y ft re...

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Basic Mathematics 4
Team #1 is in first place but only one point higher than Team #2. The sum of their two scores is N. What are each team’s scores...

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Calculate the acceleration of a crate
What is the acceleration of a crate if two robots apply F1 N and F2 N of force respectively and a frictional force of FR N acts ...

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Calculate compression ratio of engine
Calculate compression ratio of engine given compression volume of cylinder(Vc), piston stroke(s) and valve diameter(d)

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Basic Mathematics 3
It was announced during a Robotics Competition kick off that two of the trickiest scoring objects are: soup cans, and beach ball...

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Current through resistor
Three resistors (R2, R3, R4) are connected in parallel as shown in the figure. If this combination is connected in series with ...

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Basic Mathematics 2
If a 4’ x 8’ sheet of ½” plywood weighs W lbs and you cut an L” x L” robot base from this material, approximately how much weigh...

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How long do each of the stages of the rocket take to burn?
A space rocket has 3 stages: - stage 1, s1; - stage 2, s2; - stage 3, s3. If s1 burns 3 x as long as s2 which burns ...

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Create times-tables
At one time or another, we all had to memorize boring times tables. 5 times 5 is 25. 5 times 6 is 30. 12 times 12 is way more th...

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Force and Motion 3
Two robots push on a large object in the same direction. One robot pushes with a force of F1 Newtons and the other with a force...

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Basic Mathematics 1
If a robot is traveling on a north heading at v1 inches per second and has the ability to only make N degree changes in directio...

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Calculate the derivative of a polynomial
Example: in = [ 1 1 1 ] out = [ 2 1 ]

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Switch matrix to a column vector
for e.g. x = [1 2 3 4] y = 1 3 2 4

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find the roots of a quadratic equation
for e.g x = [ 2 -1 -3] y = [1.5 -1]

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Find the minimum element of the matrix
Example: If x = [3 9; 5 2] then y = 2

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find the maximum element of the matrix
for e.g x = [1 2; 3 4] y = 4

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Find the product of a Vector
How would you find the product of the vector [1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0] times 2?; x = [1 : 0.5 : 6]; y ...

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Temperature conversion
Convert temperature in degrees Celsius (C) to temperature in degrees Kelvin (K). Assume your answer is rounded to the nearest Ke...

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Cos Function
x is the abscissa. find the absolute value of cosine of -x and the same value with changed sign.

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Kepler's Equation
Solve <http://en.wikipedia.org/wiki/Kepler's_equation Kepler's Equation>. Note that the solution is rounded down to 5 decima...

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SatCom #10: Rate of Precesion of Orbit Plane (Nodal Precession)
Satellite and Space Engineering - Problem #10 This is part of a series of problems looking at topics in satellite and space com...

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Matlab Basics II - Minimum
Write a function that returns the minimum of each ROW of a matrix x example: x = [1 2 3; 4 5 6]; output [1;4];

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Penny flipping - calculate winning probability (easy)
Two players are playing a fair penny flipping game. For each flip, the winner adds one penny from the loser's collection to his/...

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Wind Chill Computation
On a windy day, a temperature of 15 degrees may feel colder, perhaps 7 degrees. The formula below calculates the "wind chill," i...

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SatCom #6: Inclination of a Sun-Synchronous Orbit
Satellite and Space Engineering - Problem #5 This is part of a series of problems looking at topics in satellite and space comm...

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Linear system of equations
Solve the system of equations in three variables.

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SatCom #5: Determine Elliptical Orbit Parameters
*Satellite and Space Engineering - Problem #5* _This is part of a series of problems looking at topics in satellite and space...

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SatCom #3: Free Space Path Loss
*Satellite and Space Engineering - Problem #3* _This is part of a series of problems looking at topics in satellite and space...

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Find the last digit
FInd the last digit of a given number. Given number is the input and output should be the last digit of that number.

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