From t = 0 to t = 5.00 min, a man stands still, and from t = 5.00 min to t = 10.0 min, he walks briskly in a straight line at a constant speed of 2.20 m/s. What are (a) his average velocity vavg and (b) his average acceleration aavg in the time interval 2.00 min to 8.00 min? What are (c) vavg and (d) aavg in the time interval 3.00 min to 9.00 min? (e) Sketch x versus t and v versus t, and indicate how the answers to (a) through (d) can be obtained from the graphs.
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.
From t = 0 to t = 5.00 min, a man stands still, and from
t = 5.00 min to t = 10.0 min, he walks briskly in a straight line at a
constant speed of 2.20 m/s. What are (a) his average velocity vavg
and (b) his average acceleration aavg in the time interval 2.00 min to
8.00 min? What are (c) vavg and (d) aavg in the time interval 3.00 min
to 9.00 min? (e) Sketch x versus t and v versus t, and indicate how
the answers to (a) through (d) can be obtained from the graphs.
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