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repository:angry_birds [2021/01/27 18:19] porcaro1 [Activity] |
repository:angry_birds [2021/02/18 19:41] (current) porcaro1 [Answer Key] |
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| ====Activity Information==== | ====Activity Information==== | ||
| ===Learning Goals=== | ===Learning Goals=== | ||
| - | *Model a projectile | + | *Model a projectile ([[https://www.nextgenscience.org/pe/hs-ps2-1-motion-and-stability-forces-and-interactions | HS-PS2-1]]) |
| *Be able to determine launch angle and velocity given target location | *Be able to determine launch angle and velocity given target location | ||
| ===Prior Knowledge Required=== | ===Prior Knowledge Required=== | ||
| Line 14: | Line 14: | ||
| ====Activity==== | ====Activity==== | ||
| ===Handout=== | ===Handout=== | ||
| + | {{ :repository:angrybirds.png?nolink&600|}} | ||
| ** Angry Birds ** | ** Angry Birds ** | ||
| - | {{ :repository:angrybirds.png?nolink&600|}} | ||
| You have set up your Angry Bird catapult 250 m away from a pig encampment in order to destroy them. The encampment is here on Earth. You are to ignore the effects of air friction in your calculations and computer simulation. | You have set up your Angry Bird catapult 250 m away from a pig encampment in order to destroy them. The encampment is here on Earth. You are to ignore the effects of air friction in your calculations and computer simulation. | ||
| Line 28: | Line 28: | ||
| - Adjust this code so that it fits the second scenario | - Adjust this code so that it fits the second scenario | ||
| ===Code=== | ===Code=== | ||
| + | [[https://www.glowscript.org/#/user/porcaro1/folder/RepositoryPrograms/program/AngryBirds-Incomplete | Link]] | ||
| <code Python [enable_line_numbers="true"]> | <code Python [enable_line_numbers="true"]> | ||
| GlowScript 3.0 VPython | GlowScript 3.0 VPython | ||
| Line 51: | Line 52: | ||
| - Now that we know the angle, we can find our horizontal and vertical components of velocity by simply plugging $\theta$ into the two substitutions above: $v_x=50\cos(39.3°)=38.7$ m/s and $v_y=50\sin(39.3°)=31.6$ m/s. | - Now that we know the angle, we can find our horizontal and vertical components of velocity by simply plugging $\theta$ into the two substitutions above: $v_x=50\cos(39.3°)=38.7$ m/s and $v_y=50\sin(39.3°)=31.6$ m/s. | ||
| - The process for figuring out how to hit the second encampment 52 m above the first one is relatively similar, with two key differences. Firstly, we need to increase the sling-shot speed; at 50 m/s, no matter what angle you aim the bird, it will never reach the encampment. Increasing it to 75 m/s should be sufficient. Secondly, we need to adjust the $y$ in the system of equations from 0 to 52 to model the elevation difference between the two encampments. With these changes, we can follow the process detailed in part 1 & 2. We find that $\theta=25.4°$, $v_x=67.7$ m/s, and $v_y=32.2$ m/s. | - The process for figuring out how to hit the second encampment 52 m above the first one is relatively similar, with two key differences. Firstly, we need to increase the sling-shot speed; at 50 m/s, no matter what angle you aim the bird, it will never reach the encampment. Increasing it to 75 m/s should be sufficient. Secondly, we need to adjust the $y$ in the system of equations from 0 to 52 to model the elevation difference between the two encampments. With these changes, we can follow the process detailed in part 1 & 2. We find that $\theta=25.4°$, $v_x=67.7$ m/s, and $v_y=32.2$ m/s. | ||
| + | |||
| + | {{ :repository:angrybirdssolution.png?nolink&600 |}} | ||
| + | |||
| ==Post-Coding Solutions== | ==Post-Coding Solutions== | ||
| See highlighted code below: | See highlighted code below: | ||
| ===Code=== | ===Code=== | ||
| ==Scenario 1== | ==Scenario 1== | ||
| + | [[https://www.glowscript.org/#/user/porcaro1/folder/RepositoryPrograms/program/AngryBirds-Solution1 | Link]] | ||
| <code Python [enable_line_numbers="true", highlight_lines_extra="3,4,10,11,13,16"]> | <code Python [enable_line_numbers="true", highlight_lines_extra="3,4,10,11,13,16"]> | ||
| GlowScript 3.0 VPython | GlowScript 3.0 VPython | ||
| Line 74: | Line 79: | ||
| t=t+dt </code> | t=t+dt </code> | ||
| ==Scenario 2== | ==Scenario 2== | ||
| + | [[https://www.glowscript.org/#/user/porcaro1/folder/RepositoryPrograms/program/AngryBirds-Solution2 | Link]] | ||
| <code Python [enable_line_numbers="true", highlight_lines_extra="3,4,10,11,13,16"]> | <code Python [enable_line_numbers="true", highlight_lines_extra="3,4,10,11,13,16"]> | ||
| GlowScript 3.0 VPython | GlowScript 3.0 VPython | ||
| Line 95: | Line 101: | ||
| ---- | ---- | ||
| ====See Also==== | ====See Also==== | ||
| - | * | + | *[[ball_launch | Ball Launch]] |
| + | *[[cirque_du_soleil_stunt | Cirque du Soleil Stunt]] | ||