Q3. Use Cartesian coordinates to graph the position of the glider as a function of time. On the graph, draw a smooth curve that passes through the bulk of your data - though it may not pass through each data point. Draw the line tangent to the curve

at t = 0.4 seconds. Draw the line tangent to the curve at t = 1.0 seconds. Extend

both tangent lines across the entire graph.

Q4. The slope of these two tangent lines represents the rate of change of the glider's position - i.e. the glider's instantaneous velocity at those two times. On the graph, calculate the slope of these tangent lines. These slopes represent the

instantaneous velocity of the glider at t = 0.4 and 1.0 seconds. Use formula of magnitude acceleration

to calculate the glider's average acceleration on the graph.

Q5. Use a Cartesian coordinate system to graph the instantaneous velocity of the glider as a function of time. Place the vertical axis about one-third of the way from the left edge of the paper. Draw a best-fit line to your data and extend the line across the entire graph, all the way to the horizontal (time) axis .

Q6. Note the point where your line crosses the velocity axis. This intercept is the

initial velocity of the glider at the data point chosen by your instructor as t = 0.

Record the value of vo on your graph. On the graph, calculate the slope of your best fit line and transfer the results to Data Table Three as av.

Q7. Use the data from Q6 to predict the position of the glider 1.0 seconds after release, using X final = 0+ v initial*t +1/2*a (of VT)*t^2 . Compare your result to the position of the glider

at t = 1.0 seconds from Data Table Two. Calculate the percent (difference or error,

as appropriate) between the predicted and measured glider positions.

We would prefer to use the raw position and time data, but it is not a straight line on a Cartesian scale. Any regular curve on a Cartesian scale can be represented as an

exponential function. In our case we think that x = C (t)^n will work, where 'C' is a constant

and 'n' is the exponential dependence.

We can use the property of logs to take our raw data and 'linearize' it. Take the log of

both sides: log x=log (Ct^n)= log C +log(t^n)=log C+nlogt . This is of the form y = b + m x with

b = log C, m = n and log t = X. We turn the graph into a straight line by plotting it on a

logarithmic scale. To make this technique simpler to use requires that we make sure that

the glider has v = 0 when t = 0, instead of the arbitrary position chosen by your instructor.

To correct your data for the delayed start time selected by the instructor, examine your velocity graph. The velocity line crosses the time axis at a 'negative time' or a 'time before zero'. This represents the time difference between when the glider was actually released and the arbitrary time chosen by your instructor.

Q8. Record the absolute value of this time difference as Tc on your velocity graph.

Next, add Te to each of the time values in Data Table Two and record the results in column five, under tc.

Q9. During the 'time before zero', the glider moved from the release point. To find out how far it displaced from rest, use Xc=

1/2*a(of VT)*t^2. Add Xc to each of the position values in Data Table Two and record the results in column six, under Xc.

Q10. Use a logarithmic scale for both axes and plot the Xc vs tc values. When you plotted x vs t in Q3, the best-fit line was a curve. Now the data is linear. Draw a best fit line to the data and calculate the slope of the log-log line on the graph.

Show your work on the log-log graph and round the slope to a single decimal place.

Q11. With the value of 'n' known, use your graph to determine the value and units

of 'C', then write the complete equation of motion of the glider in the form x = Ct^n.

Q12. Use the value of C to determine the acceleration of the glider. Record the result in Data Table Three as aLOG.

Q13. Calculate the percent (difference or error, as appropriate) between each of the experimental results and the theoretical model. What are your conclusions regarding the validity of the theoretical model versus the experimental conditions?

Q14. Calculate the percent (difference or error, as appropriate) between each of the experimental results. What are your conclusions regarding the precision of the experimental techniques for obtaining the glider acceleration?

I'm not sure if I did entire calculations right.

Need a graph as well with tangent lines and etc. Thank you.

Data Table One | D=] H-= 10cm Data Table Two | Dot | x(cm) t(s) 0 | 0 0 : 0 . 32.748 40.998 49.848 59.548 Data Table Three e ] | % | 70.048 81.348 93.348 106.248