Ball Drop Simulation

Task

Create a script that simulates the free fall of a ball from a given height, using a loop to calculate the position

over time.

Instructions

$1.$ Create a script ball$\_$drop.m that:

$$ Prompts the user for the initial height of the ball.

$$ Simulates the ball falling under gravity $(9\mathrm{.}81$ m$/$s$2).$

$$ Uses a while loop to calculate the ball$$s position every $0\mathrm{.}1$ seconds until it reaches the ground.

$$ Outputs the ball$$s position at each time step using fprintf.

Example interaction: $>$ Enter the initial height of the ball $($in meters$)$: $10>>$ Time: $0\mathrm{.}0$ s$,$ Height: $10\mathrm{.}00$ m

$>>$ Time: $0\mathrm{.}1$ s$,$ Height: $9\mathrm{.}95$ m $>>$ Time: $0\mathrm{.}2$ s$,$ Height: $9\mathrm{.}80$ m

$2.$ The loop should stop when the ball reaches the ground $($height $<=0).$

Deliverables

$1.$ Submit the script file ball$\_$drop.m$.$

$2.$ Include comments explaining the use of the while loop and fprintf for formatted output.