If a stone is thrown upward with velocity v, then it should rise to a height h s

Question

If a stone is thrown upward with velocity v, then it should rise to a height h satisfying the equation v2 = 2gh; v2 should be proportional to h. To test this, a student measures v2 and h for seven different throws, with the results shown in the table below with error. h (in m) v2 (in m/s) o.4 plusminus o.5 7 plusminus 3 o.8 plusminus o.5 17 plusminus 3 i.4 plusminus o.5 25 plusminus 3 2.0 plusminus 0.5 38 plusminus 4 2.6 plusminus o.5 45 plusminus 5 3-4 plusminus 0.5 62 plusminus 5 3.8 plusminus o.5 72 plusminus 6 Make a plot of the data,v2 versus h and include horizontal and vertical error bars. Use proper graph paper and label your axes. Is the plot consistent with the model that v2 should be proportional to h? Graphically find the values of the slope Using the procedure in the introduction, graphically find the error in the slope

Explanation / Answer

If a stone is thrown upward with velocity v, then it should rise to a height h s

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