Tom and Jerry start at the same location. Tom is travelling due east at a velocity of 5 m/hr. Jerry is travelling due northwest at a velocity of 6 m/hr. After 1 hour, how fast is the distance between them changing

The distance between them is changing at the speed of 10.16 m/hr

Explanation:

Consider the sketch attached below.

The question is simply asking to calculate the resultant of the two velocities.

To get the angle between them, we simply use the coordinates of the two vectors to determine the angle between them.  

90 + 45 = 135°

from the cosine rule we have

= + - 2abcosθ

= + - 2 ×6×5×cos 135

= 103.426

c =

c = 10.17 m/hr

what statement best describes the difference between the sympathetic and parasympathetic nervous systems?

the sympathetic nervous system prepares the body for intense physical activity and is often referred to as the fight-or-flight response. the parasympathetic nervous system has almost the exact opposite effect and relaxes the body and inhibits or slows many high energy functions.