Final answer:
The average acceleration of an automobile that changes velocity from 20 m/s to 50 m/s in 5.0 seconds is 6.0 m/s².
Step-by-step explanation:
The question posed is asking to calculate the average acceleration of an automobile that increases its velocity from 20 m/s to 50 m/s over a time span of 5.0 seconds. Acceleration can be found using the formula:
a = (v_f - v_i) / t
Where a is acceleration, v_f is the final velocity, v_i is the initial velocity, and t is the time it takes to change from the initial to final velocity.
Substituting the given values into this formula:
a = (50 m/s - 20 m/s) / 5.0 s
a = (30 m/s) / 5.0 s
a = 6.0 m/s2
Therefore, the average acceleration of the automobile is 6.0 m/s2.