Understanding the Concepts

* Constant Acceleration: The rocket experiences a steady increase in velocity.

* Kinematic Equations: We'll use the following kinematic equation to find the maximum height:

* *d = v₀t + ½at²*

* where:

* d = displacement (maximum height in this case)

* v₀ = initial velocity (0 m/s since the rocket starts at rest)

* t = time (9 seconds)

* a = acceleration (34.3 m/s²)

Calculations

1. Plug in the values:

* d = (0 m/s)(9 s) + ½(34.3 m/s²)(9 s)²

2. Simplify and solve:

* d = 0 + (17.15 m/s²)(81 s²)

* d = 1386.15 meters

Answer: The maximum height reached by the rocket is approximately 1386.15 meters.