Question

a tennis ball is dropped from a certain height. the graph below shows its height h in centimeters after t seconds. how long is the ball in the air? (graph with points (0, 176.4) and (0.6, 0) showing height vs. time)

Explanation:

Step1: Understand the problem

We need to find the time the tennis ball is in the air. The height \( h = 0 \) when the ball hits the ground, so we look for the time \( t \) when \( h = 0 \) from the graph.

Step2: Analyze the graph

The graph has a point \((0.6, 0)\), which means when \( t = 0.6 \) seconds, the height \( h = 0 \) (the ball hits the ground). So the time the ball is in the air is the time from when it is dropped (\( t = 0 \)) until it hits the ground (\( t = 0.6 \)).

Answer:

0.6 seconds