XVA - Constant Acceleration Animate 1

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Here we see an animation that shows the relation between these two quantities:

• The slope of the v vs. t graph.
• The value of the acceleration.

Also, one can see the relation between these two quantities:

• The slope of the x vs. t graph.
• The value of the velocity graph.

The object always starts at the same position, 0.0 m. It moves away from that starting position with a changing velocity. Each of the object's velocities is changing, (except the velocity that is constantly 0.0 m/s). The constant acceleration is changing through values spanning from +1.5 m/s2 to -1.5 m/s2.

This Java applet demonstration is set up for xo = 0.0 m, vo = 0.0 m/s, and a = 1.5 m/s2. You can change the acceleration to other values and see situations similar to those shown in this animation. [1] Java applet demonstration

Comments:

• The constant value of the a vs. t graph is equal to the constant slope of the v vs. t graph.
• When the acceleration is constant and positive, the slope of the v vs. t graph is constant and positive. When the acceleration is constant and negative, the slope of the v vs. t graph is constant and negative.
• When the value of the velocity is increasing with time, the slope of the x vs. t graph is continually added to as time passes.
• When the value of the velocity is decreasing with time, the slope of the x vs. t graph is continually subtracted from as time passes.
• See Constant Acceleration Animate 2 for a similar situation but with v_o = 4.0 m/s.
• See Constant Acceleration Animate 3 for a similar situation but with v_o = -4.0 m/s.

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