Question

billy drops a ball from a height of 1 m. the ball bounces back to a height of 0.8 m, then bounces again to a height of 0.5 m, and bounces once more to a height of 0.2 m. up is the positive direction. what is the total displacement of the ball?
if you answer is not an integer, round it to the nearest tenths place (1st decimal place).
______ m

Explanation:

Step1: Define initial position

Initial height (starting point): $y_0 = 1\ \text{m}$

Step2: Track final position

Final resting height: $y_f = 0.2\ \text{m}$

Step3: Calculate displacement

Displacement = final position - initial position
$\Delta y = y_f - y_0$
$\Delta y = 0.2 - 1 = -0.8\ \text{m}$

Answer:

$-0.8$ m