3.1415 6. As an object falls, it experiences an acceleration due to the force of
ID: 1878291 • Letter: 3
Question
3.1415 6. As an object falls, it experiences an acceleration due to the force of gravity. The equation of motion for this object is: Where y is the instantaneous position of the object, t is the time that has elapsed, and g is the acceleration due to gravity. Using Excel, make a graph of the average vertical displacement vs t for the data in the table below. Draw a line of best fit and calculate the experimental value of gravity (g). After an experimental value has been calculated, use the known value of g 9.81 m/s2 to determine the percent error. Trial | time (s) | t2 (s) | yi (m) | y2(m) | (m) | yalm) | ys (m) | AVG (m)| STDEV (m) 1 | 0.00 |000 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 0.00 : 0 20.50 0.25 3.69 2.20 3,.49 3.89 3.3 3.32 0.591 1.00 11.00 | 5.56 | 5.90 | 5.02 | 6.58 | 5.58 | 578 | .SII 4 1.5o 2. 25 13.08 11.67 11.53 11.68 11.61 11.0 o.sa2 5 2.00 4.00 22.47 21.48 20.70 22.22 22.33 21.84 O. G65 ep) 5.20 m/s 47.0%. R 0.991 Y25 . lq66x+0.7622 We OBLOa % Error = 15.20-gLilk 100% .81 .3993 4(o.qa3 13Explanation / Answer
If we plot graph between y and t, it would represent a parabola with its vertex at origin and focus on +y axis,
The slope of this graph at any time 't' would represent the magnitude of the speed of the falling object at that particular instance of time.