Answer: The height of the rocket after 9 seconds is 2068.1 meters.
The height of the rocket when it initially launched is 269 meters.
Explanation:
Given, NASA launches a rocket at
seconds.
Its height, in meters above sea-level, in terms of time is given by

To find, the height of the rocket after 9 seconds put t=9, we get

Hence, the height of the rocket after 9 seconds is 2068.1 meters.
To find, the height of the rocket when it initially launched put t=0, we get

Hence, the height of the rocket when it initially launched is 269 meters.