In this question, you will need to write a function and a script file that uses the function:

a$)$ An object thrown vertically with a speed v$0[$m$/$s$]$ reaches a height h $[$m$]$ at time t $[$s$],$ where

$2$

$0$

$2$

$1$

h $=$ v t $$ gt

Write a local function $$height$$ that computes the height for given values of t and v$0.$ The

function will take speed and time as the input parameters, with g $=9\mathrm{.}81$m$/$s$2$

$.[14$ points$]$

b$)$ Write a script that calls the local function $$height$$ and computes the height of the object

as a function of time from $0$ to $10$ seconds, first with v$0=5$m$/$s$,$ and then with v$0=3$m$/$s$.$

Plot both in one graph. Choose a proper time$-$step. Include the labels for both the

horizontal and vertical axes. Include proper legend.