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Laws of motion 4
Given the initial velocity 'u', final velocity 'v' and acceleration 'a', find the distance travelled.

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Laws of motion 5
Calculate the force is u are given mass and acceleration.

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Laws of motion 6

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Calculate Inner Product
Given two input matrices, x and y, check if their inner dimensions match. If they match, create an output variable z which cont...

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Plot Damped Sinusoid
Given two vectors |t| and |y|, make a plot containing a blue ( |b| ) dashed ( |--| ) line of |y| versus |t|. Mark the minimum...

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Calculate a Damped Sinusoid
The equation of a damped sinusoid can be written as |y = A.ⅇ^(-λt)*cos(2πft)| where |A|, |λ|, and |f| ...

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Index of neighbor pixel with steepest gradient
Unlike in various applications, where the gradient of a two dimensional matrix is calculated in x and y direction, the gradient ...

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Create an 8-color version of an image
This problem was inspired by a tweet I saw from @MATLAB regarding <http://www.mathworks.com/matlabcentral/fileexchange/37816-the...

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Sum of the pixel values for the blue color
Calculate the sum of the pixel values for the blue color, with a picture as an input. NOTE: The picture will be provided as a m...

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Change a specific color in an image
The ability to change colors can be a useful tool in image processing. Given an m x n x 3 array (much like CData in images), fin...

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Make blocks of color
Given a (Nx3) sequence of RGB colors, I want to create a (numRowBlocks x numColBlocks x 3) image comprising (blockSize x blockSi...

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Convert ColorSpec string to RGB triplet
Given a ColorSpec string, either in short or long form, return the corresponding RGB triplet. If the input is not a valid color,...

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Convert this color - RGB Vector to Hex String
Given a 3 element RGB vector corresponding to a color (given by the MATLAB color spec <http://www.mathworks.com/help/matlab/ref/...

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Convert hex color specification to MATLAB RGB
Here's something that comes up all the time if you deal with web pages. Given a <http://www.w3schools.com/html/html_colors.as...

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Laws of motion 3

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Crop an Image
A grayscale image is represented as a matrix in MATLAB. Each matrix element represents a pixel in the image. An element value re...

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Energy of an object
Calculate the total mechanical energy of an object. Total Energy= Potential energy + Kinetic energy P.E.=m*g*h K.E.=1/2...

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Make a random, non-repeating vector.
This is a basic MATLAB operation. It is for instructional purposes. --- If you want to get a random permutation of integer...

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Number of 1s in a binary string
Find the number of 1s in the given binary string. Example. If the input string is '1100101', the output is 4. If the input stri...

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Return the first and last characters of a character array
Return the first and last character of a string, concatenated together. If there is only one character in the string, the functi...

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Getting the indices from a vector
This is a basic MATLAB operation. It is for instructional purposes. --- You may already know how to <http://www.mathworks....

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Průměr z výběrového souboru
Napište funkci, která vrátí průměr z hodnot vektoru data. Např data = [1, 2, 3, 4, 5, 6, 7, 8, 9] je prumer = 5.

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Determine whether a vector is monotonically increasing
Return true if the elements of the input vector increase monotonically (i.e. each element is larger than the previous). Return f...

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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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Check if number exists in vector
Return 1 if number _a_ exists in vector _b_ otherwise return 0. a = 3; b = [1,2,4]; Returns 0. a = 3; b = [1,...

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Fibonacci sequence
Calculate the nth Fibonacci number. Given n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ... Examples: Input...

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The Birthday Phenomenon
First off, leap years are not being considered for this. In fact the year that people are born shouldn't be taken into considera...

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Throwing Dice - Will You Be Eaten By The Dragon?
You and a dragon have agreed to let dice rolls determine whether it eats you or not. The dragon will roll a single die, of x si...

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Roll the Dice!
*Description* Return two random integers between 1 and 6, inclusive, to simulate rolling 2 dice. *Example* [x1,x2] =...

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Solve a System of Linear Equations
Example: If a system of linear equations in x₁ and x₂ is: 2x₁ + x₂ = 2 x₁ - 4 x₂ = 3 Then the coefficient matrix (A) is: 2 ...

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