A sailboat tacking against the wind moves as follows: 4.6 km at 36o east of north, 3.4 km at 27o west of north, and 3.2 km at 48o east of north. The entire trip takes 3 h and 5 min. What is the displacement of the sailboat at the end of the trip? What is the magnitude of the average velocity of the sailboat for this trip? What is the magnitude of the average instantaneous speed of the sailboat for this trip? At what angle would the boat have sailed to reach its destination directly? Assume north is 0o and east is 90o.
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 sailboat tacking against the wind moves as follows: 4.6 km at 36o east of north, 3.4 km at 27o west of north, and 3.2 km at 48o east of north. The entire trip takes 3 h and 5 min. What is the displacement of the sailboat at the end of the trip? What is the magnitude of the average velocity of the sailboat for this trip? What is the magnitude of the average instantaneous speed of the sailboat for this trip? At what angle would the boat have sailed to reach its destination directly? Assume north is 0o and east is 90o.
Step by step
Solved in 6 steps with 1 images
