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This question is a short free-response question. Show your work for each part of the question. Robot Target: 4 Points 1 Point Zone 2 Point Zone i 3 Point Zone X=D -14 x=0 A group of students prepare for a robotic competition and build a robot that can launch large spheres of mass M in the horizontal direction with a variable speed and from a variable vertical position and a fixed horizontal position z = 0. The robot is calibrated by adjusting the speed at which the sphere is launched and the height of the robot's sphere launcher. Depending on where the spheres land on the ground, students earn points based on the accuracy of the robot. The robot is calibrated so that when the spheres are launched from a vertical position y = H and speed to. they consistently land on the ground on a target that is at a position z = D. Positive directions for vector quantities are indicated in the figure.. II (a) On the axes below, sketch the graphs of the horizontal and vertical components of the sphere's velocity v as a function of time t between t = 0, when the sphere is launched and t = T, when the sphere hits the target. Label t = T for the horizontal component of the sphere's velocity and the vertical component of the sphere's velocity. Horizontal Component of Sphere's Velocity Vx te IT יך] F LJ. II 74- BI U X² X₂ 3 ĆEE Vertical Component of Sphere's Velocity J.L 1 4-1 41T7 JUTT P . x=30 X= LILLL 2 Point Zone 1 Point Zone x = 2D 1111 r11 HAPA++-++- KJLIJALLE. 11 רזה־h II 1+4-T4-1-+4- ULLI 1 1 +T I -+X 4742T41TT1 INLI 11 1-T LJILILLA O

This question is a short free-response question. Show your work for each part of the question. Robot Target: 4 Points 1 Point Zone 2 Point Zone i 3 Point Zone X=D -14 x=0 A group of students prepare for a robotic competition and build a robot that can launch large spheres of mass M in the horizontal direction with a variable speed and from a variable vertical position and a fixed horizontal position z = 0. The robot is calibrated by adjusting the speed at which the sphere is launched and the height of the robot's sphere launcher. Depending on where the spheres land on the ground, students earn points based on the accuracy of the robot. The robot is calibrated so that when the spheres are launched from a vertical position y = H and speed to. they consistently land on the ground on a target that is at a position z = D. Positive directions for vector quantities are indicated in the figure.. II (a) On the axes below, sketch the graphs of the horizontal and vertical components of the sphere's velocity v as a function of time t between t = 0, when the sphere is launched and t = T, when the sphere hits the target. Label t = T for the horizontal component of the sphere's velocity and the vertical component of the sphere's velocity. Horizontal Component of Sphere's Velocity Vx te IT יך] F LJ. II 74- BI U X² X₂ 3 ĆEE Vertical Component of Sphere's Velocity J.L 1 4-1 41T7 JUTT P . x=30 X= LILLL 2 Point Zone 1 Point Zone x = 2D 1111 r11 HAPA++-++- KJLIJALLE. 11 רזה־h II 1+4-T4-1-+4- ULLI 1 1 +T I -+X 4742T41TT1 INLI 11 1-T LJILILLA O

College Physics
College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 66AP: Two students air on a balcony a distance h above the street. One student throws a ball vertically...
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Q: Motion sensor of students horizontal velocity This question is a short free-response question. Show your work for each part of the question. O דיו -+-+4 |||| rזח־ו Robot 4-T 1-7 JL. H M 111111 A group of students prepare for a robotic competition and build a robot that can launch large spheres of mass M in the horizontal direction with a variable speed and from a variable vertical position and a fixed horizontal position = 0. The robot is calibrated by adjusting the speed at which the sphere is launched and the height of the robot's sphere launcher. Depending on where the spheres land on the ground, students earn points based on the accuracy of the robot. The robot is calibrated so that when the spheres are launched from a vertical position y = H and speed vo. they consistently land on the ground on a target that is at a position = D. Positive directions for vector quantities are indicated in the figure. Vo 2 Target: 4 Points 1 Point Zone 2 Point Zone i 3 Point Zone I x=2 x = D x = 0 (a) On the axes below, sketch the graphs of the horizontal and vertical components of the sphere's velocity v as a function of time t between t = 0, when the sphere is launched and t = T, when the sphere hits the target. Label t = T for the horizontal component of the sphere's velocity and the vertical component of the sphere's velocity. Horizontal Component of Sphere's Velocity Vx I U +11-4- te IT 114 IIIII11 וזירז - 1-++--++- FLUFL IIIIII יוז־בזהOriזח־ו 4-T+4-4-+-+-+- JELLILUL TIT 11 HITTA JL. IIIIIII HITTA-T1- Vv 52 Vertical Component of Sphere's Velocity O ry 11T1 T 4-T 77 BI U X² X₂ 3 ĆE O 41T -- TI LT-44- 111. 1+1-1-1+1- J-K-L1JLILLJ. 111 T1 AHI X I J-L TIL -r FT 41T1 1 11 1 i Ft JALILLJ 4 L. 2 Point Zone 1 Point Zone 3D x = 2D urse Resources FIL חד +−1+4- LI 111 12. III יוזהוחרם +y T4IT 4-T4-1-+4 rt -+X LILLI. TIT +1. Create Quiz When the students arrive at the competition, it is determined that the height of the sphere launcher can no longer be adjusted due to a mechanical malfunction. Therefore, the spheres must be launched at a vertical position of y=. However, the spheres may be launched at speed up or 200. (b) In a clear, coherent paragraph-length response that may also contain diagrams and/or equations, describe the speed at which a sphere should be launched so that the students earn the maximum number of points in the competition. B X² X₂ 3 E Since target, the height is cut in half, the ball will fall short , as the ball will begin lower, and will hit the earlier, causing it to travel less on the x axis, short of the target. https://apclassroom.collegeboard.org/92/home/preview/item/587908?previewItemId=587371&subunit=1&unit=1 0/10000 Word Limit short of the ground Q ? ✿ finished on back 1/2
Transcribed Image Text:Q: Motion sensor of students horizontal velocity This question is a short free-response question. Show your work for each part of the question. O דיו -+-+4 |||| rזח־ו Robot 4-T 1-7 JL. H M 111111 A group of students prepare for a robotic competition and build a robot that can launch large spheres of mass M in the horizontal direction with a variable speed and from a variable vertical position and a fixed horizontal position = 0. The robot is calibrated by adjusting the speed at which the sphere is launched and the height of the robot's sphere launcher. Depending on where the spheres land on the ground, students earn points based on the accuracy of the robot. The robot is calibrated so that when the spheres are launched from a vertical position y = H and speed vo. they consistently land on the ground on a target that is at a position = D. Positive directions for vector quantities are indicated in the figure. Vo 2 Target: 4 Points 1 Point Zone 2 Point Zone i 3 Point Zone I x=2 x = D x = 0 (a) On the axes below, sketch the graphs of the horizontal and vertical components of the sphere's velocity v as a function of time t between t = 0, when the sphere is launched and t = T, when the sphere hits the target. Label t = T for the horizontal component of the sphere's velocity and the vertical component of the sphere's velocity. Horizontal Component of Sphere's Velocity Vx I U +11-4- te IT 114 IIIII11 וזירז - 1-++--++- FLUFL IIIIII יוז־בזהOriזח־ו 4-T+4-4-+-+-+- JELLILUL TIT 11 HITTA JL. IIIIIII HITTA-T1- Vv 52 Vertical Component of Sphere's Velocity O ry 11T1 T 4-T 77 BI U X² X₂ 3 ĆE O 41T -- TI LT-44- 111. 1+1-1-1+1- J-K-L1JLILLJ. 111 T1 AHI X I J-L TIL -r FT 41T1 1 11 1 i Ft JALILLJ 4 L. 2 Point Zone 1 Point Zone 3D x = 2D urse Resources FIL חד +−1+4- LI 111 12. III יוזהוחרם +y T4IT 4-T4-1-+4 rt -+X LILLI. TIT +1. Create Quiz When the students arrive at the competition, it is determined that the height of the sphere launcher can no longer be adjusted due to a mechanical malfunction. Therefore, the spheres must be launched at a vertical position of y=. However, the spheres may be launched at speed up or 200. (b) In a clear, coherent paragraph-length response that may also contain diagrams and/or equations, describe the speed at which a sphere should be launched so that the students earn the maximum number of points in the competition. B X² X₂ 3 E Since target, the height is cut in half, the ball will fall short , as the ball will begin lower, and will hit the earlier, causing it to travel less on the x axis, short of the target. https://apclassroom.collegeboard.org/92/home/preview/item/587908?previewItemId=587371&subunit=1&unit=1 0/10000 Word Limit short of the ground Q ? ✿ finished on back 1/2
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