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Human and Linear Kinematic Concepts

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Vector resolution and composition

Figure 8.18 In accordance with the definition for acceleration, the change in velocity (Δv) over a given time is represented graphically. There is a reduction in the vertical velocity and an increase in horizontal component velocity from v initial to v final component
 
  
Figure 8.19 This represents the same parameters as Figure 8.18, however, the differences lie in the component velocity directions. The initial component velocities have the same magnitude but are in the opposite direction. The triangle rule is used to accentain the resultant vector (Δv)
 
Figure 8.20 The component velocity vectors are represented in (a) and the corresponding component acceleration vectors are represented in (b)
 
Figure 8.21 (a) Diagram shows the change between velocity vectors v1 and v2. There is no directional change. (b) Represents the velocity change over time as an acceleration vector a and the component axes αx and αy
 
Figure 8.22 (a) Two velocity vectors and the corresponding change in direction. Velocity occurs in a given direction and so a change in direction indicates a change in velocity. This is represented in (b) as an acceleration vector
 
Figure 8.23 General acceleration combines velocity and directional changes. The acceleration vector is the resultant of a change in velocity and direction
 
Figure 8.25 The relationship between displacement and time which represents the gradient at time (t)
 
Figure 8.26 Instantaneous velocities can be found graphically by drawing tangents to the curve at specific times and calculating gradients. Velocity-time data can be plotted
 

 

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