Answer:
5/8
Step-by-step explanation:
The sectors are labeled 1,2,3,4,5,6,7,8
Numbers less than 4: 1,2,3
Multiples of 4: 4,8
We are looking for 1,2,3,4,8 = 5 choices
P (1,2,3,4,8) = Number of choices/ total
= 5/8
a. By the fundamental theorem of calculus, the velocity function is
The particle starts at rest, so , and we have
Then the position function is
with , so
b. The particle is at rest whenever ; this happens for
where is any integer.