Question

aaron launches a toy rocket from a platform. the graph below shows the height of the rocket h in feet after t seconds. find the interval for which the rocket’s height is increasing.

Explanation:

Step1: Analyze the graph

A function \(y = f(x)\) is increasing when, as \(x\) increases, \(y\) also increases. In the context of the height - time graph (\(h\) vs \(t\)), we look for the part of the graph where as \(t\) (time) increases, \(h\) (height) increases.

Step2: Identify the interval

From the graph, when \(t = 0\) (initial time), \(h=180\) and when \(t = 1\), \(h = 196\). For \(t\) values from \(t = 0\) to \(t=1\), as \(t\) increases, \(h\) increases. After \(t = 1\), as \(t\) increases further, \(h\) starts to decrease.

Answer:

The rocket's height is increasing in the interval \(0