Bouncing Ball

Source: May 2025, Task 6 (DTU 02002/02003). Study solution — not an official answer key.

Problem

A ball is dropped from height h0 cm. After each bounce the height is (2/3) of the previous height.

Write bouncing_ball(h0) returning how many bounces occur before the height is below 1 cm.

Example

>>> bouncing_ball(2.5)
3

Approach

Start from h0. Loop: multiply by 2/3, count each bounce, stop when height < 1.

Solution

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Solution

def bouncing_ball(h0):
    height = h0
    bounces = 0
    while True:
        height = (2 / 3) * height
        bounces += 1
        if height < 1:
            return bounces