Acceleration

Acceleration - Sloane Schneider Acceleration September 9,...

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Sloane Schneider Acceleration September 9, 2008 Laboratory Partners: Taylor Whipple Cory Wilkinson Amy Kalal
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Purpose: The purpose of this laboratory is to compare three separate experiments in order to discover the ways in which acceleration relates to position and velocity. For this laboratory the motion sensor, photogate, track, picket fence, a regular cart and a fan cart were used. Sublist: Experiment 1: Using a free falling picket fence to calculate gravity Experiment 2: Calculating gravity with a photogate and cart down an almost frictionless track Experiment 3: Using a motion sensor and fan cart to calculate acceleration. Theory: There are three main equations found in the 2008 Physics Laboratory Manual that can be used to solve for position, velocity, and acceleration. Equation #1 will aid in solving for position, but is only valid given a constant acceleration. In the case of these experiments only a constant acceleration will be used so Equation #1 is as follows: Equation #1 x = x 0 + v 0 t + 12 at 2 In order to solve for the velocity, which is the rate of change of position, the derivative of the position equation relative to time is taken, giving Equation #2: Equation #2 ddt x = v = v 0 + at Finally, to solve for the acceleration of this object, the second derivative of Equation #1 (the first derivative of Equation #2) is taken with respect to time. Since these equations deal solely with objects moving at a constant acceleration, this derivative will give you the equation for this constant acceleration. Equation #3 = = d2dt2x ddtv a For two out of the three experiments done the acceleration of a free falling body was used. This acceleration equation is a = -g when g = 9.80 m/s 2 . Although g is always a positive number, we use a = - g to show that the acceleration is in a downward motion. When dealing with free falling bodies the position versus time graph should be in the shape of a parabola. When a downward direction is considered negative the slope of the graph is negative and the velocity is negative. For free falling bodies the acceleration is negative (the object is falling down) mean the position versus time graph should be concave down. The slope of the velocity versus time graph is linear and equal to the constant
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Acceleration - Sloane Schneider Acceleration September 9,...

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