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What is the coordinate plane?
- How is it named? What are the points?
a plane that has two axes
Y versus X
(x,y)
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__ do not give you lines. Why not?
Spatial plots.
If a point object moves at any time, its a point object. As you move it, it represents a change in y
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If you have a straight line in Y v. T graph, what does that mean?
the object is standing still
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What does dimensional analysis focus on?
the ratio of length versus time, but not the actual units
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A horizontal line indicates a slope of __. Why?
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An axis of time enables __.
study of the rate
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When calculating slope, what must we do?
draw a triangle, assign opposite, adjacent, and hypotenuse, and use trig to get it
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What is slope?
the ratio of rise over run, which also denotes the change in speed
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What does a straight line indicate?
there is no change in rate/ speed. Slope is zero
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What is the slope of the slope called?
the accepleration (slope of the speed)
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If moving at aconstant speed, what does that mean for acceleration?
there is no change in acceleration
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If you have a change in speed, you have __
acceleration
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What is velocity?
the speed of something
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Length/ Time is what?
speed (aka: rate)
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Speed/ Time (L/T2) is what?
acceleration
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__ has no special units
velocity
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The rate at which acceleration is changing is __
(L/T2) (1/T)
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If I drop a marker from my eye level to the floor, how will the line look? Why?
What is changing?
the position of the object and the time are changing. Both are increasing. A change means it is not a horizontal line. It can't be a slanted line because that indicates consistency in slope with an initial speed when our speed is zero. It would be a curve upward with the slope increasing (speed increasing)
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What is acceleration?
a change in speed per time
slope in velocity versus time
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What does a decreasing acceleration mean?
you're still accelerating but easing up on the gas
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To go from L v. T to V. versus T., what must you do?
draw a tangent to the curve, get slope at T1 plot on V/T and repeat
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If the VT graph has a slope, what does that mean?
V must be changing. It has an acceleration
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What is the acceleration of gravity?
9.8 /s2 (g=gravity)
32 f/s2
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Since acceleration is constant, it is __, which is why we don't do what?
not changing
take the rate of acceleration. Most of the time, acceleration doesn't change with time
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How can you tell the difference between 1D and 2D?
2D problems have two distances. You need to have two dimensions to draw an arc. With/ a straight line, it is always one dimensional.
With 2D, you need both x and y. With 1D, you need x or y. With 2D, you need three axes: x, y, and T
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With Y versus T, a horizontal line tells us __.
With Y versus X, a horizontal line tells us __.
its changing
nothing. We don't know how
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A rate graph is what?
velocity versus time. So a zero slope equals no movement
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What does a changing velocity tell us?
that there is acceleration
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If you drop a ball, can it go higher than when you started? Why or why not?
No, because the ball deforms, pushing out air, and losing energy in the form of heat
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If you want the ball to go higher, what do you do?
throw it
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If an object is falling, what kind of motion is it?
straight line motion
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