Analyzing Car Motion: A Position-Time Study

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Data: Table 1: Car moving in the positive direction Position (cm) Trial 1 Time (s) Trial 2 Time (s) Trial 3 Time (s) Average time (s) 50 (reference point) 0 0 0 0.00 150 1.86 1.38 1.6 1.61 200 1.8 1.7 1.78 1.76 250 2.16 1.9 1.9 1.99 300 2.6 2.5 2.7 2.60 350 3.4 2.87 2.8 3.02 Table 2: Car moving in the negative direction Position (cm) Trial 1 Time (s) Trial 2 Time (s) Trial 3 Time (s) Average time (s) 50 (reference point) 0 0 0 0.00 -150 2.38 2.89 2.1 2.46 -200 2.48 2.7 3.09 2.76 -250 3.0 2.9 3.12 3.01 -300 3.33 3.2 3.69 3.41 -350 3.9 3.9 4.02 3.94 Page Break Data Evaluation: (a) Use your data to construct a labeled position – time graph of the car’s motion. …show more content…

Image (b) State the relationship (linear, quadratic, exponential,…). Both relationships are …show more content…

In the case of this car, a negative position means the car is going backwards and is on the other side of the reference point (the reference point is on the positive side). It also means that the velocity is negative as well. (b) What is the physical meaning of a negative slope on a position-time graph? The physical meaning of a negative slope on a position-time graph is that the velocity is negative. In this case with the car in uniform motion, the car is travelling at a constant velocity in a negative (backwards) direction. (a) Sketch a velocity – time graph of the car’s motion for both data tables. Image (b) Determine their slopes. Include units. Slope= 100.9 cm/s [Fwd] Slope= -101.86 cm/s [Bwd] (c) What is the physical meaning of the slope of a velocity-time graph? The slope of the line on a velocity versus time graph is equal to the acceleration of the object. If the object is moving with a velocity of +4 m/s or changing its velocity by 4 m/s, then the slope of the line will be +4 m/s which is the acceleration of the object. In this case the acceleration would be 100.9 cm/s when going in the positive direction and -101.86 cm/s when going in the negative direction or to the left of the

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