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Web plot digitizer:
Average NFL player of a similar weight:
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Part 2: Simulating The Rock's Skyscraper Jump To simulate The Rock's jump, we'll need to make some reasonable estimates of the scenario to create a physics-based projectile motion analysis. The Rock weighs about 260 lb, or 118 kg, with a height of about 6'5", or 1.95 m. If we take a still screenshot of the jump scene from the movie, we can scale the distances in the image relative to The Rock's height to estimate the vertical and horizontal distance of the jump. We could process a screenshot of the movie still image in Matlab, but for simplicity we'll use an online tool called Web Plot Digitizer and scale the pixels of the image based on The Rock's height. Based on the image analysis from the still movie image. The Rock needs to jump about 12.4 m horizontally while falling about 6.4 m vertically if he's going to make the jump. We could set the initial vertical position to 6.4 m with a vertical landing at om, and the initial horizontal position at Om with a final horizontal position based on the projectile motion simulation. The angle of his jump off the crane is measured to be about 18 degrees from horizontal - ODO ge Ares Map D Det Ande Distance Web To model the air resistance of The Rock's body, we can approximate him as a rectangle with a height of 1.95 m and a width of approximately 0.5 m to calculate the rectangle drag area. We'll approximate the drag coefficient as that of a person from this reference (cd = 1.20), which is roughly the same as that for a large rectangle. Use the same air density as for the sea level baseball problem (1.2 kg/m^3). Dwayne "The Rock" Johnson is built like an NFL lineman. He actually played college football for Miami and entered the NFL draft, but was not drafted in the NFL. The average NFL player of a similar weight can do the 40 yard (36.6 m) dash in about 4.8s (average speed of 7.63 m/s). A person can run at a maximum speed in a short burst that's about 1.15x higher than their average speed in a 40 yd dash. If we assume that The Rock could sprint at this maximum speed just before the jump, how far would The Rock travel horizontally under these conditions? Would he make the jump? Also note that in the movie, The Rock is playing a character with a prosthetic leg and the Rock himself is 48 years old. Support your findings with plots and outputs for your report. 2.0 1.5 1.0 0.5 > 0.0 -0.5 -1.0 -1.5 -2.0 0 2 3 5 6 Query Results Share & Export Glossary k Year Player Pos Age AV School Height WOD Vertical Benches Bump Con Shuttle Drafted (m/y) Subscribe to Stathead Football for full results Stathead users enjoy the most powerful research tools in sports for just $bomont Lean More Subscribe Now First Month Free Aready a subscriber Login for lutresults. 11 2020 OL 12 2020 W OL 23 1 orth Care 22 Math Cole 31.0 32.0 7.45 2:35 437 Mam Dolhas / sth/154th 72920 4.52 Washington Football Team / 7th / 22th pick/2000 123 115 31.5 355 25 23 25 25 25 23 119 15 020 GB # # # # 7232 7.33 30.5 4.32 Seattle Seahawks / sth/140th pick/2020 4.70 Colte Stat 64 365 4.60 6-3 261 4.33 6-3 264 4.69 6-2 262497 -4.257 4.96 6:7 252 417 6.5 256 4.49 54292 6.0 253 481 106 Stand 1 CS 225 16 109 15 TE 2020 Art 19 1920 anos DL 30 2920 C TE 21 21 22 4.45 Seattle Seahawks/th/133rd pek 2020 Denver Broncos/th/110thpick / 2020 Detroit Lions / 67th Dick/ 2020 GS 340 119 7.30 5 7 8 9 5 Part 2 The Rock needs to jump 12.4 m horizontally and fall 6.4 m vertically * initial guess for The Rocks trajectory v, initial velocity angle, jump angle to gravity, m/s2 m, mass, kg A, drag area, m2 od, dimensionieas drag coefficient rho, air density, kg/m3 y, initial vertical position, m x, initial horizontal position, * Call the projectile_motion_drag function with the function input Find out how Ear The Rock traveled horizontally under these conditions print out "The Rock traveled X1 m, and he needed to go X2 m. plot your results for Part 2 with a formatted plot include title, axis labels, legend, at least 14 tont size 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 - 32 33 - 34 35 J6 37 30 Part 3 Use the folve function to find the exact initial velocity to make the jump #define x_final target initial velocity solution] - Laolve (initialvariable myfunction (inputs), initialguess) use this code line below to solve [V_301) solve ((v) find solution (v, angle, 9, 11, A,cd, rho,y,X,*_final), v): it solve iunt installed (need optimization toolbox), use fueron alty_sol]-zero (@(v) tind_solution (angle,,,,cd, tho, y, *,*_final). W print out "The Rock would need to jump at V_01 m/s to make the Jump." assign yev_sol Call the projectile motion_drag function with the function inputs plot your results for Pact 2 with a formatted plot include title, axin labels, legend, at least 14 font size Part 2: Simulating The Rock's Skyscraper Jump To simulate The Rock's jump, we'll need to make some reasonable estimates of the scenario to create a physics-based projectile motion analysis. The Rock weighs about 260 lb, or 118 kg, with a height of about 6'5", or 1.95 m. If we take a still screenshot of the jump scene from the movie, we can scale the distances in the image relative to The Rock's height to estimate the vertical and horizontal distance of the jump. We could process a screenshot of the movie still image in Matlab, but for simplicity we'll use an online tool called Web Plot Digitizer and scale the pixels of the image based on The Rock's height. Based on the image analysis from the still movie image. The Rock needs to jump about 12.4 m horizontally while falling about 6.4 m vertically if he's going to make the jump. We could set the initial vertical position to 6.4 m with a vertical landing at om, and the initial horizontal position at Om with a final horizontal position based on the projectile motion simulation. The angle of his jump off the crane is measured to be about 18 degrees from horizontal - ODO ge Ares Map D Det Ande Distance Web To model the air resistance of The Rock's body, we can approximate him as a rectangle with a height of 1.95 m and a width of approximately 0.5 m to calculate the rectangle drag area. We'll approximate the drag coefficient as that of a person from this reference (cd = 1.20), which is roughly the same as that for a large rectangle. Use the same air density as for the sea level baseball problem (1.2 kg/m^3). Dwayne "The Rock" Johnson is built like an NFL lineman. He actually played college football for Miami and entered the NFL draft, but was not drafted in the NFL. The average NFL player of a similar weight can do the 40 yard (36.6 m) dash in about 4.8s (average speed of 7.63 m/s). A person can run at a maximum speed in a short burst that's about 1.15x higher than their average speed in a 40 yd dash. If we assume that The Rock could sprint at this maximum speed just before the jump, how far would The Rock travel horizontally under these conditions? Would he make the jump? Also note that in the movie, The Rock is playing a character with a prosthetic leg and the Rock himself is 48 years old. Support your findings with plots and outputs for your report. 2.0 1.5 1.0 0.5 > 0.0 -0.5 -1.0 -1.5 -2.0 0 2 3 5 6 Query Results Share & Export Glossary k Year Player Pos Age AV School Height WOD Vertical Benches Bump Con Shuttle Drafted (m/y) Subscribe to Stathead Football for full results Stathead users enjoy the most powerful research tools in sports for just $bomont Lean More Subscribe Now First Month Free Aready a subscriber Login for lutresults. 11 2020 OL 12 2020 W OL 23 1 orth Care 22 Math Cole 31.0 32.0 7.45 2:35 437 Mam Dolhas / sth/154th 72920 4.52 Washington Football Team / 7th / 22th pick/2000 123 115 31.5 355 25 23 25 25 25 23 119 15 020 GB # # # # 7232 7.33 30.5 4.32 Seattle Seahawks / sth/140th pick/2020 4.70 Colte Stat 64 365 4.60 6-3 261 4.33 6-3 264 4.69 6-2 262497 -4.257 4.96 6:7 252 417 6.5 256 4.49 54292 6.0 253 481 106 Stand 1 CS 225 16 109 15 TE 2020 Art 19 1920 anos DL 30 2920 C TE 21 21 22 4.45 Seattle Seahawks/th/133rd pek 2020 Denver Broncos/th/110thpick / 2020 Detroit Lions / 67th Dick/ 2020 GS 340 119 7.30 5 7 8 9 5 Part 2 The Rock needs to jump 12.4 m horizontally and fall 6.4 m vertically * initial guess for The Rocks trajectory v, initial velocity angle, jump angle to gravity, m/s2 m, mass, kg A, drag area, m2 od, dimensionieas drag coefficient rho, air density, kg/m3 y, initial vertical position, m x, initial horizontal position, * Call the projectile_motion_drag function with the function input Find out how Ear The Rock traveled horizontally under these conditions print out "The Rock traveled X1 m, and he needed to go X2 m. plot your results for Part 2 with a formatted plot include title, axis labels, legend, at least 14 tont size 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 - 32 33 - 34 35 J6 37 30 Part 3 Use the folve function to find the exact initial velocity to make the jump #define x_final target initial velocity solution] - Laolve (initialvariable myfunction (inputs), initialguess) use this code line below to solve [V_301) solve ((v) find solution (v, angle, 9, 11, A,cd, rho,y,X,*_final), v): it solve iunt installed (need optimization toolbox), use fueron alty_sol]-zero (@(v) tind_solution (angle,,,,cd, tho, y, *,*_final). W print out "The Rock would need to jump at V_01 m/s to make the Jump." assign yev_sol Call the projectile motion_drag function with the function inputs plot your results for Pact 2 with a formatted plot include title, axin labels, legend, at least 14 font size
