Shown is a series of position-time data for the first 400ms of a hand during a reach. Displacement of the hand is shown for the horizontal and vertical dimension. Compute the respective velocities in the x/y dimension as well as the resultant 2D velocity and 2D acceleration for each of the 9 time-series data points. It is recommended that you use a spreadsheet to compute the data.
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.
![Velocity (x) Velocity (y) Resultant
velocity
Time
Current
horizontal
Current
vertical
Resultant
acceleration
position (x) position (y)
ms
mm
mm
m/s
m/s
m/s
m/s?
0.138
613.846
50
35.046
674.699
100
66.990
740.855
150
93.319
807.123
200
113.387
868.221
250
128.375
922.692
300
142.150
970.285
350
157.341
1010.852
400
178.020
1048.883](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7901ca7-6112-42a3-8b38-6d294a733831%2F5817fe0b-3ed8-4592-9471-af7896d87cb6%2Fkv53vxe_processed.jpeg&w=3840&q=75)
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