The equation of motion for the height h$($t$)$ of a ball thrown upwards with initial velocity

v$0$ from an initial height h$0$ is:

h$($t$)=$ h$0+$ v$0$t $($gt$2)/2$

where g is the gravitational acceleration. Use g $=9\mathrm{.}81$ m$/$sec$2$ in your calculations.

Write a Matlab script called myball.m which will calculate the following two quantities:

the maximum height hmax achieved by the ball, and the time thit $>0$ when the ball will hit

the ground $($which occurs when h $=0).$

In the Matlab command window $($not in the script file itself$)$ assign the numerical values

h$0=50$; v$0=20$;$.$ Your script should express its calculations in terms of these variables, h$0$

and v$0,$ not these specific numbers $($this lets us $$reuse$$ the script to explore many different

possibilities for initial height and velocities$).$ Run your script by typing its name myball

into the command window. The output that appears should look like