Time period = 1 / frequency
Time period = 1 / 250 th of a second
North: 1m
South: 0,8m
Direction:
1m>0,8m
so mouse moved north
Distance:
1m-0,8m=0,2m
so mouse traveled 0,2m
Answer: The mouse moved 0,2m north.
"Non nobis Domine, non nobis, sed Nomini tuo da gloriam."
Regards M.Y.
Answer:
Average speed: 0.5 m/s. Average velocity: 0
Explanation:
Average speed is given by:

where
d is the total distance covered (the length, of one lap of the track, so d = 400 m)
t is the time taken to cover that distance (so, t = 800 s)
Substituting,

Instead, average velocity is defined as

where this time,
d is the displacement, which is the vector connecting the starting point to the final point of the motion
t is still the time taken (800 s)
However, in this case the walker starts and finishes his trip at the same point: therefore, the displacement is zero (d=0), and this means that the average velocity is zero as well.
Generally, the symbol

is used to indicate the angular velocity.
In a circular motion, the angular velocity is defined as the time rate of change of the angular displacement, relative to the origin. If we call

the angular displacement of an object relative to the origin, and t the time, the angular velocity can be written as

and it is measured in radiants per second (rad/s).