# Solution Library

# Write Functions to Interleave Matrix Elements to compute Height and Velocity Using MATLAB

**Question**

a) In this problem, we will be computing the height and velocity of a ball when it is thrown vertically with an initial velocity from both Earth and Mars. For a given time t, the height reached is given by h = vt + 12 at2 and final velocity is determined by the equation vf = v + at (Consider that a = - g for both the equations in this problem). Implement these equations by defining two functions namely *height *and *velocity *where both these functions require Gravitational acceleration g, initial velocity v, time t as input parameters. The Gravitational acceleration on earth is 9.8 ms-2 and on mars is 3.7 ms-2, calculate the height and final velocity of the ball in both earth and mars for initial velocity of 10 ms-1 & time 1 second. Display your results.

b) Your task in this problem would be to write functions to interleave matrix elements. Your functions must accept matrices A and B as input, and the function InterRow would interleave the matrices row by row and the function InterCol would interleave column by column. Hence display the corresponding interleaved matrices for

** **Illustration of what your function should perform is shown in the example below:

Output of InterRow = Output of InterCol =

Note: The dimensions of A and B should be equal for interleaving. Do not interleave by manually entering the values, and your function should work for any dimensions of A and B (& not just 3x3).

**Summary **

This question belongs to MATLAB software and discusses about application of MATLAB in physics to write functions to interleave matrix elements to compute height and velocity of a ball when it is thrown vertically up.

**Answer is in MATLAB format**

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