1401Lab2 - Lab 2 - Motion in One dimension In this lab, you...

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Lab 2 - Motion in One dimension In this lab, you will explore motion in one dimension. A computer will aid in acquiring the data and displaying the data to be analyzed. Theory: If an object is moving at a constant acceleration over a fixed period of time, the rate at which the distance it travels and it’s increasing or decreasing velocity during this period of time can be determined from the following equations For position x = x o + v o t + ½at 2 [1] For velocity v = v o + at [2] where x o and v o are the initial starting position and velocity of the object. Equation [1] is in the form of a quadratic equation such that y = Ax 2 + Bx + C. position x = ½at 2 + v o t + x o [1] The value of A, B and C relates to ½ a , v o and x o . In this lab the computer will fit the acquired data for position vs. time to a quadratic fit and from the information box you will be able to determine the acceleration and initial velocity of the cart. Equation [2] is in the form of a linear fit y = mx + b velocity v = at + v o [2] The values m and b relates to a and v o . A linear fit applied to data of a graph for velocity vs. time will yield the information need to determined initial velocity and acceleration. If a linear fit is applied to a graph of acceleration vs. time and the object has constant acceleration, the expected output should be a horizontal line whose slope is equal to zero. So if y = mx + b then a = 0(x) + a [3] One can also have a general idea of what a graph for displacement vs. time and velocity vs. time should look like. For example an object starting out with an initial velocity, v o , and displacement, x o , and time equal to zero, the graphs for each would begin at the origin. From equation [2] it can be rationalize that under constant acceleration as time increases linearly so should the velocity of the object, therefore a graph of velocity vs. time should be a linear function, whose slope is the constant acceleration of the object.
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1401Lab2 - Lab 2 - Motion in One dimension In this lab, you...

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