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Measuring the Height of Buildings Matt French Clifton College, Bristol Mail >matthewfrench.net
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The background measurement of acceleration when stationary fluctuates between 1g and 1.04g spending approximately 50% of the time at each reading. Thus the stationary reading should be 1.02g. Taking a reading of the maximum acceleration on the upwards journey gives a value of 1.12g. This corresponds to an additional upwards acceleration of (1.12-1.02)=0.1g = 0.98m/s 2. Finding the Acceleration
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Finding the Velocity Integrating acceleration with respect to time gives the velocity reached by the lift. Thus the area under the graph is the velocity reached. Approximating the area as a triangle gives the velocity reached as:
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Finding the Distance Travelled The distance traveled by the lift can be approximated by assuming that the lift travels at the calculated velocity (0.98m/s 2 ) for a time of 10.2-1.2=9.0 seconds giving a distance traveled of 8.8m.
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