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Newton’s Third Law – Action and Reaction in Rocket Launch
Scientists at SpaceX are testing a rocket engine before launch from their facility. When the rocket pushes exhaust gases downwa...

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Newton’s Second Law – Normal Force in an Accelerating Elevator
Engineers at Otis Elevator Company are testing a new high-speed elevator installed in the Burj Khalifa. When the elevator accel...

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Newton’s Second Law – Motion on an Inclined Plane
In the mountainous region near Manali, a rescue team is testing a motorized emergency vehicle designed to climb steep slopes. E...

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Newton’s First Law – Force Needed to Start Motion
At Indira Gandhi International Airport, a heavy suitcase is sitting on a stationary conveyor belt. The belt is initially at rest...

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Newton’s Second Law – Acceleration of a Mars Rover
At NASA's robotics laboratory, engineers are preparing a prototype rover for a future mission to Mars. Before sending the rover...

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Newton’s Second Law – Force Required to Accelerate a Rocket Cart
At ISRO's training center, engineering students are testing a small rocket-powered cart on a straight frictionless track. The ca...

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Draw a '7' in a zero matrix!

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Draw a '8' in a zero matrix!

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Draw a '4' in a zero matrix!

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Raise a polynomial to a power
In Matlab, polynomials are represented by a vector of coefficients. For example, the polynomial p=a*x^2 + b*x + c is represente...

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Draw a '3' in a zero matrix!

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Find x rows where the sum of the numbers is the maximum
Find x rows where the sum of the numbers is the maximum. For example: when x is 2 and m is 2 3 5 0 2 3 5 5 6 0 9 4 then y =...

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Draw a '1' in a zero matrix!

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Find the minimum of the column-maximums of a matrix
Given a matrix A, find the maximum value of each column, then return the smallest of those maximum values (ie return the minimum...

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Find Closest Constant
Given a number x, return the value that is closest to x from this list of constants: 0, 1, , e, , (also known as ). For exampl...

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Create an arrow matrix
An arrow matrix is a square matrix that contains ones on the diagonal, the last column, and last row. ...

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Calculate the Distance to Source of Lightning
Lightning discharge heats air rapidly with lightning channels reaching temperatures of up to 50,000 degrees Fahrenheit (which is...

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Let's get back to school, and create multiplication tables
For a given range, create multiplication tables. (start is always < endno) Example start = 17 endno = 19 Then, ...

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Calculate Wind Chill Factor
The NWS Wind Chill Temperature (WCT) index formula for calculating the dangers from winter winds and freezing temperatures: Cal...

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Multiplication
Multiply two numbers in a different manner. The numbers are given to you as vectors x and y. Example x = [ 1 2 0 1 ] ...

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Subtract integers and add doubles
Create a function that subtracts a from b if a and b are integers and adds them if they are floats.

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Simulate full-stop emergency braking scenario.
Emergency braking events demand rapid deceleration to bring the vehicle safely to rest. Given initial vehicle speed and constant...

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Compute optimal regenerative and friction brake torque blending.
Electric and hybrid vehicles combine regenerative braking with traditional friction braking to maximize energy recovery while en...

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Estimate brake disc temperature rise during braking.
During braking, kinetic energy is converted into thermal energy, causing brake discs to heat up. Excessive temperature rise can ...

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Compute wheel slip ratio during braking.
During braking, a difference develops between the vehicle’s forward speed and the rotational speed of its wheels. This differenc...

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Compute optimal front–rear brake force distribution.
Modern braking systems dynamically distribute braking forces between front and rear axles to maintain stability, reduce stopping...

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Sum the 'edge' values of a matrix
Sum the 'edge' values of an input matrix (the values along the perimeter). Example [1 2 3 4 5 6 7 8 9] Output = ...

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Matrix Quadrants
Write a function that takes N as the input, and outputs a matrix whose upper-left (NxN) quadrant contains all ones, the lower-ri...

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Remove NaN ?
input -> matrix (n*m) with at least one element equal to NaN; output -> matrix(p*m), the same matrix where we deleted the enti...

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Reverse the elements of an array
Reverse the order of elements in an array: eg: input X = [ 1 2 3 ; 4 5 6 ; 7 8 9 ] o...

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