The height $h(m)$ and speed $v(\frac{m}{s})$ of a thrown ball can be calculated with the following equations:

$h=v_{0}tsin()-\frac{1}{2}g{t}^2$

$v=\sqrt[\phantom{2}]{v_0^2-2V_{0}gtsin()+g^2{t}^2}$

where $v_0$ is the initial velocity $(\frac{m}{s})$

$t$ is the time $($seconds$)$

$$ is initial angle of the ball relative to the ground $($degrees$)$

$g$ is the acceleration due to gravity $(9\mathrm{.}81\frac{m}{s^2})$

Write a function to complete the following tasks:

a$)$ Define input arguments for $v_0,,$ and $t.v_0$ and $$ are scalar values. The vector $t$ should contain values between $0$ seconds and $2$ seconds. You can choose the number of values in the vector $($pick at least $100$ values$).$

b$)$ For ALL time values, calculate the height $h$ and speed $v$ of the thrown ball given the equations above. $h$ and $v$ should be vectors that are the same size as the $t$ vector that you define. HINT: $$ is defined to be an angle in degrees. What is the built$-$in MATLAB function to calculate the sine of an angle in degrees?

c$)$ Output the height $h$ and speed $v$ using output arguments. HINT: An output argument is different from using the disp function. You should NOT use both in a function! Show the output arguments for BOTH test cases below in your diary file.