An astronaut lands on the surface of the moon. After exiting the lander, she walks due east at 1.4m/s in search of a flag left on the moon by the astronauts that participated in the Apollo Missions. After 10 minutes of walking she spots the flag some distance away directly due south of her position. She then begins to walk towards the flag at 2m/s and reaches it after 6 minutes. Assuming that the position of the lander is the origin, (a) determine the position of the flag in Cartesian (x, y) and Polar (r, ø) coordinates. (b)
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.
2 sig figs. Answer in degrees. Put north in the direction of positive y, and East in the direction of positive x.
![**Problem Statement: Lunar Exploration**
An astronaut lands on the surface of the moon. After exiting the lander, she walks due east at 1.4 m/s in search of a flag left on the moon by the astronauts that participated in the Apollo Missions. After 10 minutes of walking, she spots the flag some distance away directly due south of her position. She then begins to walk towards the flag at 2 m/s and reaches it after 6 minutes. Assuming that the position of the lander is the origin:
(a) Determine the position of the flag in Cartesian \((x, y)\) and Polar \((r, \phi)\) coordinates.
(b) [Further instructions not visible in the image]
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The text provides a detailed scenario of an astronaut's movement on the moon and challenges to ascertain her final position using two coordinate systems.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ff1c888-964e-4444-aacc-2152d4151491%2Fb94d6993-1291-4648-95a3-ed32b0b8f2ad%2Fvpx667g_processed.png&w=3840&q=75)
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