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repository:cirque_du_soleil_stunt [2021/02/16 23:35] porcaro1 [Activity Information] |
repository:cirque_du_soleil_stunt [2021/02/18 19:36] (current) porcaro1 [Answer Key] |
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| ====Activity==== | ====Activity==== | ||
| ===Handout=== | ===Handout=== | ||
| + | {{ :repository:cirque_du_soleil.png?nolink&600|}} | ||
| ** Cirque du Soleil Stunt ** | ** Cirque du Soleil Stunt ** | ||
| - | {{ :repository:cirque_du_soleil.png?nolink&600|}} | + | As part of your Cirque du Soleil audition you are going to ride a bicycle horizontally off a cliff and fall into an airbag that is in the back of a moving pickup truck driving towards the cliff. The people in charge of personnel safety at Cirque du Soleil are concerned about the level of danger in your proposed stunt. In order to reassure them that you have a reasonable chance of being successful with the stunt, you are going to create a computer simulation. Using the [[https://www.glowscript.org/#/user/porcaro1/folder/MyPrograms/program/CirqueduSoleilStunt-Incomplete | minimally working code]] and the ball velocity provided by the stunt coordinator, determine an appropriate airbag speed and complete the simulation that shows you will hit the moving airbag. Be sure to include velocity versus time graphs of both your horizontal and vertical velocities. |
| - | As part of your Cirque du Soleil audition you are going to ride a bicycle horizontally off a cliff and fall into an airbag that is in the back of a moving pickup truck driving towards the cliff. The people in charge of personnel safety at Cirque du Soleil are concerned about the level of danger in your proposed stunt. In order to reassure them that you have a reasonable chance of being successful with the stunt, you are going to create a computer simulation. Using the [[https://www.glowscript.org/#/user/porcaro1/folder/REPOSITORYSTUFF/program/CirqueduSoleilStunt(StudentVersion)/edit | minimally working code]] and the ball velocity provided by the stunt coordinator, determine an appropriate airbag speed and complete the simulation that shows you will hit the moving airbag. Be sure to include velocity versus time graphs of both your horizontal and vertical velocities. | + | |
| - | **//Note//**: when conducting this activity with students, the initial velocity of the bike (ball) and the initial position of the airbag (target) can be provided by the instructor, but for demonstration purposes they have been included in the code below. | + | **Note**: when conducting this activity with students, the initial velocity of the bike (ball) and the initial position of the airbag (target) can be provided by the instructor, but for demonstration purposes they have been included in the code below. |
| ===Code=== | ===Code=== | ||
| + | [[https://www.glowscript.org/#/user/porcaro1/folder/MyPrograms/program/CirqueduSoleilStunt-Incomplete | Link]] | ||
| <code Python [enable_line_numbers="true"]> | <code Python [enable_line_numbers="true"]> | ||
| GlowScript 2.8 VPython | GlowScript 2.8 VPython | ||
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| ====Answer Key==== | ====Answer Key==== | ||
| ===Handout=== | ===Handout=== | ||
| - | |||
| {{ :repository:cirque_du_soleil_velocities.png?nolink&600|}} | {{ :repository:cirque_du_soleil_velocities.png?nolink&600|}} | ||
| + | |||
| To find the appropriate velocity of the airbag, we must divide this problem into several parts. Since horizontal and vertical motion are independent, we can first find the total time it will take for the bike to fall to the ground. Looking at the code, we see that for the provided target size and table height, the total distance the bike will fall is 1.25 meters. Knowing that the acceleration due to gravity is approximately -10 meters per second per second, we can use the following kinematic equation to solve for time: $y=y_0+v_yt+\dfrac{1}{2}a_yt^2$. Plugging in our knowns, we find $0=1.25-10t^2$. Rearranging and solving for $t$, we calculate that the total time it takes for the bike to hit the target once it falls off the cliff is 0.5 seconds. | To find the appropriate velocity of the airbag, we must divide this problem into several parts. Since horizontal and vertical motion are independent, we can first find the total time it will take for the bike to fall to the ground. Looking at the code, we see that for the provided target size and table height, the total distance the bike will fall is 1.25 meters. Knowing that the acceleration due to gravity is approximately -10 meters per second per second, we can use the following kinematic equation to solve for time: $y=y_0+v_yt+\dfrac{1}{2}a_yt^2$. Plugging in our knowns, we find $0=1.25-10t^2$. Rearranging and solving for $t$, we calculate that the total time it takes for the bike to hit the target once it falls off the cliff is 0.5 seconds. | ||
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| ====See Also==== | ====See Also==== | ||
| - | * | + | *[[ball_launch | Ball Launch]] |
| + | *[[angry_birds | Angry Birds]] | ||