Computer Science. In MATLAb. Show the exact code. A ball that is dropped on the floor bounces back up many times, reaching a lower height after each bounce. $$ When the ball impacts the floor its rebound velocity is $0\mathrm{.}85$ times the impact velocity. $$ The velocity with which a ball hits the floor after being dropped from a height is given by $,$ where $$ The time between successive bounces is given by where is the upward velocity after the last impact.

Consider a ball that is dropped from a height of $.$ Determine the times at which the ball hits the floor for the first $13$ bounces.

Hint: first create a vector for each bounce, $$ Next calculate the velocity of the ball each time it bounces, $,$ and then calculate the time between each bounce.

Display the results in a $2-$D array where the first column is the values of $,$ and the second column is the values of $.$ Use format short.