1.After doing the free fall, choose ten points. 2.Make a graph of x vs. t with...

Transcribed Image Text:

1.After doing the free fall, choose ten points. 2.Make a graph of x vs. t with EXCEL for all ten data points. 3.Using EXCEL, obtain the equation of the curve. 4.By drawing tangent line obtain the VO, V2, V4 5.Calculate VO, V2, and V4 by using the equation from step 3 6.Calculate acceleration from the equation x = x(t) 7.Algebraically prove that the graph of V ave vs. t is linear. Show how the slope is related to the acceleration of gravity 'g' 8.Make a graph of V ave vs. t using EXCEL and obtain the equation 9.Calculate the acceleration from the graph of V ave vs t 10.Calculate the initial velocity VO from the graph of V ave vs t 11.Calculate instantaneous velocity V4 at t4 graphically 12.Calculate instantaneous velocity V2 at t2 graphically 13.Compare the already calculated accelerations to the expected value g= 9.80 m/s2 14.Compare the velocities at to, t2, and t4 using three different methods a.The tangent method b.The equation of motion x= x(t) c.Graphical methods (v = toxt) 15.Prove that if the acceleration is constant, then V ave over a time interval is equal to V inst at the midpoint of the time interval Graphs: X vs. t V ave vs. t V ave vs. t for V2 at X2 Vave vs. t for V4 at X4 Data: able[[t(s),x(cm) Calculation: Part 4: ? VO= V2= V4= Part 5: X(t) = 0.19 +126+ + 491t^2 V=X' 126 +982t VO at t0 =126 +982(0) = 126 V2 at t2=126 +982(0.067) = 191.79 V4 at t4=126 +982 (0.133) = 256.61 Part 6: Acceleration is X" = V' = 982 cm/s2 or 9.82 m/s2 Part 7 -15:? t(s) X (cm) 0 0 XO 0.03 4.8 X1 0.067 10.6 X2 0.1 17.6 X3 0.133 25.6 X4 0.167 34.8 X5 0.2 44.9 X6 0.233 56.2 X7 0.267 68.6 X8 0.3 82 X9 0.333 96.4 X10 1.After doing the free fall, choose ten points. 2.Make a graph of x vs. t with EXCEL for all ten data points. 3.Using EXCEL, obtain the equation of the curve. 4.By drawing tangent line obtain the VO, V2, V4 5.Calculate VO, V2, and V4 by using the equation from step 3 6.Calculate acceleration from the equation x = x(t) 7.Algebraically prove that the graph of V ave vs. t is linear. Show how the slope is related to the acceleration of gravity 'g' 8.Make a graph of V ave vs. t using EXCEL and obtain the equation 9.Calculate the acceleration from the graph of V ave vs t 10.Calculate the initial velocity VO from the graph of V ave vs t 11.Calculate instantaneous velocity V4 at t4 graphically 12.Calculate instantaneous velocity V2 at t2 graphically 13.Compare the already calculated accelerations to the expected value g= 9.80 m/s2 14.Compare the velocities at to, t2, and t4 using three different methods a.The tangent method b.The equation of motion x= x(t) c.Graphical methods (v = toxt) 15.Prove that if the acceleration is constant, then V ave over a time interval is equal to V inst at the midpoint of the time interval Graphs: X vs. t V ave vs. t V ave vs. t for V2 at X2 Vave vs. t for V4 at X4 Data: able[[t(s),x(cm) Calculation: Part 4: ? VO= V2= V4= Part 5: X(t) = 0.19 +126+ + 491t^2 V=X' 126 +982t VO at t0 =126 +982(0) = 126 V2 at t2=126 +982(0.067) = 191.79 V4 at t4=126 +982 (0.133) = 256.61 Part 6: Acceleration is X" = V' = 982 cm/s2 or 9.82 m/s2 Part 7 -15:? t(s) X (cm) 0 0 XO 0.03 4.8 X1 0.067 10.6 X2 0.1 17.6 X3 0.133 25.6 X4 0.167 34.8 X5 0.2 44.9 X6 0.233 56.2 X7 0.267 68.6 X8 0.3 82 X9 0.333 96.4 X10