A truck moves 20.0 km north, then 30.0 km in the direction 30o east of north, and then 40.0 km west. Determine the following: A. Total distance traveled by the truck B. Displacement vector of the truck C. Magnitude of displacement of the truck
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
A truck moves 20.0 km north, then 30.0 km in the direction 30o east of north, and then 40.0 km west. Determine the following:
A. Total distance traveled by the truck
B. Displacement vector of the truck
C. Magnitude of displacement of the truck
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![then 40.0 km west. Determine the following:
A. Total distance traveled by the truck
B. Displacement vector of the truck
C. Magnitude of the displacement of the truck
Hint: Use the unit vectors î and î to denote the unit vectors pointing to the East and to
the North, respectively.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb15ee3ec-344a-48ea-93ad-ff0ef441811a%2F8748b1c3-d5a6-4cc7-a2a8-14fd69b579cb%2F0krmvj6_processed.jpeg&w=3840&q=75)
![3A. The total distance traveled by the truck is 90.0 km
3B. The displacement vector of the truck is 7 = -25.0 km î + 46.0 km j or,
equivalently 25.0 km West and 46.0 km North.
3C. The magnitude of the displacement of the truck is 52.4 km](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb15ee3ec-344a-48ea-93ad-ff0ef441811a%2F8748b1c3-d5a6-4cc7-a2a8-14fd69b579cb%2F5beaie_processed.jpeg&w=3840&q=75)
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