Final answer:
The average velocity between t=26 s and t=50 s, with a displacement of x=10 m at both times, is 0 m/s since the net displacement is zero, making the options provided incorrect.
Step-by-step explanation:
The student is asking about finding the average velocity of an object when the net displacement is zero over a given time interval. To find the average velocity, you would typically take the net displacement divided by the total time taken. However, since at both t=26 s and t=50 s the position x is 10 m, the net displacement in this time interval is 0 m.
Therefore, regardless of the total distance traveled by the object, if the displacement is 0 m, the average velocity must also be 0 m/s. This is because average velocity is defined as the net displacement divided by the total time interval, and in this case, a displacement of 0 m over any non-zero time interval will result in an average velocity of 0 m/s.
Consequently, the answer is:
A. 0.1 m/s
B. 0.2 m/s
C. 0.5 m/s
D. 1.0 m/s
None of the above options provided are correct. The correct answer is not listed, as the average velocity is actually 0 m/s.