Question:

Looking at 2 lines, how do you determine relationship of velocity and acceleration?

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If you have two linear lines, with line 1 slope > line 2 slope (line 1 looks like y=x^2 equation and line 2 is slightly tilted upward but almost horizontal) and they intersect at time = 10 seconds. would velocity line 1>velocity line 2; acceleration line 1 > acc. line2 or would lines have same velocity and/or same position. How would I determine with the limited information given?

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  1. line 2's acceleration is 1, 'cause it's a straight line, linear, right?

    line 1's acceleration is higher then 1, 'cause it keeps going upwards steeper (or downwards less steep).

    If they intersect they have the same position...

    If, at the intersection, the slope of line 1 > the slope of line 2 then the velocity of line1>the velocity of line2.

    There are some strange things about your question.

    You say you have 2 linear lines. And you say line 1 is a parabole(y=x^2). Paraboles are not linear.

    You say the slope of line 1 is always higher than the slope of line 2. But with a parabole, the slope constantly changes, thus at some point, the slope op line 1 is lower than the slope of line 2

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