Final answer:
The acceleration of the automobile that increased its speed from 25 m/s to 40 m/s in 5 seconds is 3 m/s².
Step-by-step explanation:
To find the acceleration of the automobile, we use the formula for acceleration: a = (v_f - v_i) / t, where v_f is the final velocity, v_i is the initial velocity, and t is the time taken for the change in velocity to occur.
According to the information provided: v_i = 25 m/s, v_f = 40 m/s, t = 5 s.
Plugging these numbers into the formula, we get: a = (40 m/s - 25 m/s) / 5 s = 15 m/s / 5 s = 3 m/s². Hence, the rate of acceleration of the automobile is 3 m/s².