arun launches a toy rocket from a platform. the graph below shows the height of the rocket h in feet after t…
arun 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 decreasing.
Answer
Explanation:
Step1: Identify the peak point
The rocket reaches its maximum height at the vertex of the parabolic - shaped graph. The vertex is at the point $(1.75,169)$.
Step2: Determine the decreasing interval
A function is decreasing when the $y$ - values (height $h$ in this case) are getting smaller as the $x$ - values (time $t$) are increasing. After the rocket reaches its maximum height at $t = 1.75$ seconds, its height starts to decrease until it hits the ground at $t = 5$ seconds.
Answer:
$1.75\lt t\lt5$