9. This graph plots the position, as a function of time, of an object that was thrown upward and allowed to fall freely under the influence of gravity. Label the curve to indicate: (1) minimum position, (2) maximum position, (3) minimum velocity, (4) maximum velocity, (5) zero velocity, (6) minimum acceleration, and (7) maximum acceleration. Position (m) 50 45 40 35 30 25 20 15 10 5 0 0 1 2 + 3 4 ↓ 5 6 Time (s) 7 8 9 10 11
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.
Solution:
If the object is thrown upward, at the highest position the velocity is zero and when it comes down its final velocity will also be zero.
During upward motion, the velocity starts decreasing and finally ended with zero after reaching the maximum height, and then the velocity will start increasing the negative value. So the velocity is minimum during downward motion and maximum value during the upward motion.
The acceleration decreases during the upward motion and increases during the downward motion. but the magnitude of the acceleration remains constant.
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