Final Answer:
The two components of the motorcycle's velocity that need to be found are its westward velocity and its northward velocity.
Step-by-step explanation:
The given information includes the motorcycle's speed (156 miles/hr) and the direction (36 degrees north of west). However, this information represents the velocity in polar form (magnitude and angle). To fully understand the motorcycle's motion, we need to decompose its velocity into its rectangular components:
Westward velocity: This represents the horizontal component of the velocity and determines how fast the motorcycle is moving towards the west. It can be calculated using the cosine function and the angle information.
Northward velocity: This represents the vertical component of the velocity and determines how fast the motorcycle is moving towards the north. It can be calculated using the sine function and the angle information.
By finding these two components, we can completely understand the direction and speed of the motorcycle's movement.