Question 21 Assume the position of a person traveling along a straight hiking trail is given by the graph depicted. The input to the function is time in hours, and the output is position in miles from the only outhouse on the trail. The trail travels east-west. Below you will estimate when the displacement of the hiker is positive, negative or zero using the position function. If the time is an interval give the interval in the form (a, b); if there are multiple intervals then separate the intervals with a comma (a, b), (c, d); and, if the times are a series of single values give the values as a, b, c. List from the smallest to the largest values. For the time interval (0, 10), state the times when the displacement of the hiker is positive. State the times when the displacement of the hiker is negative. State the times when the displacement of the hiker is zero.
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.
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