A ball is dropped from a height of 80 metres. After hitting the ground, it bounces back 60% of the height from which it fell. It continues bouncing in this way− each time rising to 60% of the previous height.
(i) What height does the ball reach after the \(5^{th}\) bounce?
(ii) What is the total vertical distance the ball has travelled by the time it hits the ground for the \(6^{th}\) time?