Question

genesis throws a ball up in the air. the graph below shows the height of the ball h in meters after t seconds. find the interval for which the ball’s height is decreasing.

Explanation:

Step1: Understand decreasing - height concept

A function is decreasing when the y - value (height $h$ here) decreases as the x - value (time $t$) increases.

Step2: Analyze the graph

Looking at the graph of height $h$ vs time $t$, the height of the ball starts to decrease after it reaches its maximum height. The maximum height occurs at the point $(1.5, 11.025)$. After $t = 1.5$ seconds, as $t$ increases, the height $h$ of the ball decreases until it hits the ground at $t=3$ seconds.

Answer:

The interval for which the ball's height is decreasing is $1.5\lt t\lt3$.