A carnival merry-go-round rotates about a vertical axis at a constant rate. A man standing on the edge has a constant speed of 3.36 m/s and a centripetal acceleration "a" of magnitude 1.86 m/s^2. Position vector "r" locates him relative to the rotation axis.
(a) What is the magnitude of r?
(b) What is the direction of r when a :
i) is directed (ii) due east and (iii) due south?

Explanation:

Given,    constant speed v = 3.36 m / s, centripetal acceleration a = 1.86 m/s^2.

                          |a| =  

                           |r| =   = (3.66)^2 / 1.86

                           |r| = 7.32 m.

The centripetal acceleration and radius vector are in opposite directions and the direction of centripetal acceleration is always inwards along radius vector.

correct it is c.) b b

i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles  

b) 0.4 miles  

c) 1 mile  

d) 3.15 miles