labreport1

labreport1 - Movement of on object released from rest down...

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Movement of on object released from rest down an incline Statement of the problem: The problem was to determine the dependence of acceleration of an object on its initial velocity. We rolled a car down a wood ramp, once from rest and once with an initial velocity. We made 2 movies with the video equipment provided, once for the car rolled from rest, and once with an initial velocity. These movies were analyzed with LabVIEW to study the dependence of the initial velocity on the acceleration. Prediction Our group predicted that the acceleration will remain the same in both of the experiments. We have observed that the time it takes to the car released from rest to get to the bottom of the ramp is larger than the time it takes to the car with the initial velocity to get to the bottom of the ramp. Since the gravitational acceleration is constant, we reasoned that the acceleration will be the same. Mathematically, we start from the relationship between position, time and velocity: 0 x is the initial x position of the car, 0 v is the initial velocity of the car, a is the acceleration (1) 2 0 0 1 2 x x v t at = + + With the x- axis in the downward direction of the ramp, and the y- axis vertical to the ramp’s surface, and the positive direction down (see graph a), we know the acceleration in the y- axis is: (2) a y =0 And the acceleration in the x- axis is: (3) a x = sin g θ (a) Motion equation in the x- axis for an object released without initial velocity ( 0 v =0): (4) 2 1 sin 2 x g t θ = θ y x

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