Final answer:
The rocket is traveling at a velocity of 150 m/s 6 seconds after launch.
Step-by-step explanation:
To find the velocity of a rocket at a certain time, we can use the equation:
v = vo + at
Where v is the final velocity, vo is the initial velocity, a is the acceleration, and t is the time. In this case, the initial velocity is 0 m/s (since the rocket starts from rest), the acceleration is 25 m/s², and the time is 6 seconds. Plugging these values into the equation, we get:
v = 0 + (25)(6) = 150 m/s
Therefore, the rocket is traveling at a velocity of 150 m/s 6 seconds after launch.