Final answer:
The acceleration of the rocket is calculated using the change in velocity over the change in time, which gives an acceleration of 31 m/s².
Step-by-step explanation:
To find the acceleration of a rocket starting from rest and reaching 155 m/s in 5 s, we can use the formula:
a = Δv / Δt
where 'a' is the acceleration, Δv (delta v) is the change in velocity, and Δt (delta t) is the change in time.
The change in velocity (Δv) is 155 m/s (since the rocket starts from rest, its initial velocity is 0 m/s), and the change in time (Δt) is 5 s. Substituting these values into the formula gives us:
a = 155 m/s / 5 s = 31 m/s²
Therefore, the acceleration of the rocket is 31 meters per second squared (m/s²).