course phy 201
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How do the two most fundamental equations of uniformly accelerated motion embody the definitions of average velocity and of acceleration? vf = v0 + a `dt, `ds = (vf + v0) / 2
How do we extrapolate our acceleration vs. ramp slope data to obtain an estimate of the acceleration of gravity?
By finding the slope of the line you can get an estimates of what the acceleration gravity would be. Slope is rise/run.
How do the unavoidable timing errors due to the uncertainty in the computer timer affect our estimate of the acceleration of gravity?
Because if the times are off it would change the points on the graph which would then change the slope of the line which would then change of acceleration gravity.
How could the slight slope of the table on which the ramp rests, if not accounted for, affect our graph of acceleration vs. ramp slope but not our estimate of the acceleration of gravity?
If we fail to take into account when we measure the altitudes of the two ends of the ramp, relative to the table the slopes we calculate from these measurements will all be incorrect by an amount equal to the slope of the table.
How could anticipation of the instant at which a cart reaches the end of the ramp, but not of the instant at which it is released, affect our graph as well as our estimate of the acceleration of gravity?
The clock could stop to fast or not go long enough also not paying attention to when the ball is released would change the time because it might not be right when the timer is so then the points on the graph would change and everything else would be wrong as well.
How do flow diagrams help us see the structure of our reasoning processes?
By using flow diagrams it helps us see the structure of our reasoning by helping us to obtain formulas relating the basic kinematic quantities in terms of which we have been analyzing uniformly accelerated motion.
How do the two most fundamental equations of uniformly accelerated motion embody the definitions of average velocity and of acceleration?
Because they have the quantities of initial velocity, final velocity, change in velocity, average velocity, change in time, change in displacement, and acceleration.
How can we interpret the third fundamental equation of uniformly accelerated motion?
The third equation is the average velocity which is found have adding final and initial velocity and then dividing by two. From this equation you can obtain the initial and final velocity and multiplying the average velocity by time you can get displacement.
Why can we not directly reason out the basic 'impossible situation'?
We can not reason out the impossible situation because you cannot draw any conclusion from any pair of these quantities without knowing something about the ones we don’t know.
What strategy will we use to reconcile the basic 'impossible situation'?
You can write down the two fundamental equations and see what you know and what they have in common.
What is the difference between understanding uniformly accelerated motion and analyzing it with the use of equations?
By just knowing that someone is accelerating is fine but how do you get there. With an equation it gives you more information and you are able to obtain other things this way as well.
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Very good statements in answer to these questions.
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