# Measurement No. time t (s) dis

Using video analysis, the motion of an object has been recorded as follows:

 Measurement No. time t (s) distance x (m) 1 0.300 1.59E-02 (i.e. 1.59 × 10−2) 2 0.500 4.31E-02 3 0.700 9.04E-02 4 1.20 2.70E-01

Questions

1. Plot x vs. t on log-log paper. Label all axes properly, and draw a best-fit line through the data points.

2. Determine the slope of the best-fit line. Based on the slope, what type of motion does the mass do?

3.  Now assume that the motion is described by

From the given values for t and x, calculate the acceleration a for each measurement and write it down in a table. Be sure to add the proper unit.

4. For the acceleration, find the average, the standard deviation, standard deviation of the mean and 2σ-uncertainty.

Report the final answer in standard form (mean ± uncertainty) with proper rounding and units.

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