Final answer:
The acceleration of the car is 1 m/s², calculated by the change in velocity (30 m/s) over the time interval (30 seconds).
Step-by-step explanation:
To calculate the acceleration of a car that increases its velocity from 25 m/s to 55 m/s in 30 seconds, we use the formula for acceleration, which is the change in velocity over the change in time (a = Δv / Δt).
Here, the initial velocity (vi) is 25 m/s, the final velocity (vf) is 55 m/s, and the time interval (Δt) is 30 seconds. So, the change in velocity (Δv) is vf - vi = 55 m/s - 25 m/s = 30 m/s.
Therefore, the acceleration is a = Δv / Δt = 30 m/s / 30 s = 1 m/s².