The car initially at x = 0 and driving in the negative direction, begins braking at a constant acceleration. Graph a(t), v(t), and x(t) vs t using the GeoGebra simulation below. This activity is qualitative and you only need to get the signs of the initial values, slopes of the curves, and nature of the curvature of the plots correct. Think & Prepare For each graph: 1. What are the initial values/signs (positive, negative, or zero) of position, velocity, and acceleration? 2. What are the end values/signs (positive, negative, or zero) of position, velocity, and acceleration? 3. If the graph is a flat line, is its value positive, negative, or zero? 4. If the graph is linear, is its y-intercept positive, negative, or zero? What about the slope? 5. If the graph is a parabola, where is the initial point and vertex of the parabola? How is the curvature of the parabola? Is the parabola initially changing (increase or decrease) slowly and then faster? Or, the parabola initially changing (increase or decrease) fast and then slower?

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Chapter1: Units, Trigonometry. And Vectors
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The car initially at x = 0 and driving in the negative direction,
begins braking at a constant acceleration.
Graph a(t), v(t), and x(t) vs t using the GeoGebra simulation below.
This activity is qualitative and you only need to get the signs of the initial values,
slopes of the curves, and nature of the curvature of the plots correct.
Think & Prepare
For each graph:
1. What are the initial values/signs (positive, negative, or zero) of position, velocity, and acceleration?
2. What are the end values/signs (positive, negative, or zero) of position, velocity, and acceleration?
3. If the graph is a flat line, is its value positive, negative, or zero?
4. If the graph is linear, is its y-intercept positive, negative, or zero?
What about the slope?
5. If the graph is a parabola, where is the initial point and vertex of the parabola?
How is the curvature of the parabola?
Is the parabola initially changing (increase or decrease) slowly and then faster?
Or, the parabola initially changing (increase or decrease) fast and then slower?
Transcribed Image Text:The car initially at x = 0 and driving in the negative direction, begins braking at a constant acceleration. Graph a(t), v(t), and x(t) vs t using the GeoGebra simulation below. This activity is qualitative and you only need to get the signs of the initial values, slopes of the curves, and nature of the curvature of the plots correct. Think & Prepare For each graph: 1. What are the initial values/signs (positive, negative, or zero) of position, velocity, and acceleration? 2. What are the end values/signs (positive, negative, or zero) of position, velocity, and acceleration? 3. If the graph is a flat line, is its value positive, negative, or zero? 4. If the graph is linear, is its y-intercept positive, negative, or zero? What about the slope? 5. If the graph is a parabola, where is the initial point and vertex of the parabola? How is the curvature of the parabola? Is the parabola initially changing (increase or decrease) slowly and then faster? Or, the parabola initially changing (increase or decrease) fast and then slower?
| a(t)
v(t)
x(t)
a(t): parabola
t
t
v(t): flat line
x(t): parabola
t
hints
hints
hints
Transcribed Image Text:| a(t) v(t) x(t) a(t): parabola t t v(t): flat line x(t): parabola t hints hints hints
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