written by
Gary Gladding
published by
the University of llinois Physics Education Research Group
This is an interactive homework problem for introductory physics students relating to motion in two dimensions. Two boys, at a distance 63 meters apart, are playing catch. Given the initial speed and angle of projection of the thrown ball, how far must the catcher move to intercept the ball? A user-activated "help" sequence is provided for each step of the problem-solving, from conceptual analysis through quantitative calculation. To promote critical thinking, immediate feedback is received for both correct and incorrect responses. This item is part of a larger collection of interactive homework problems for introductory physics.
This item is part of a larger collection of interactive homework problems for introductory physics. See Related items on this page for a link to the author's full collection of problems for introductory physics.
9-12: 4F/H8. Any object maintains a constant speed and direction of motion unless an unbalanced outside force acts on it.
9. The Mathematical World
9B. Symbolic Relationships
9-12: 9B/H2b. Symbolic statements can be combined to look for values of variables that will satisfy all of them at the same time.
9-12: 9B/H5. When a relationship is represented in symbols, numbers can be substituted for all but one of the symbols and the possible value of the remaining symbol computed. Sometimes the relationship may be satisfied by one value, sometimes by more than one, and sometimes not at all.
Common Core State Standards for Mathematics Alignments
Standards for Mathematical Practice (K-12)
MP.1 Make sense of problems and persevere in solving them.
High School — Algebra (9-12)
Seeing Structure in Expressions (9-12)
A-SSE.1.b Interpret complicated expressions by viewing one or more of their parts as a single entity.
Creating Equations? (9-12)
A-CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
A-CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
Common Core State Reading Standards for Literacy in Science and Technical Subjects 6—12
Craft and Structure (6-12)
RST.11-12.4 Determine the meaning of symbols, key terms, and other domain-specific words and phrases as they are used in a specific scientific or technical context relevant to grades 11—12 texts and topics.
Range of Reading and Level of Text Complexity (6-12)
RST.11-12.10 By the end of grade 12, read and comprehend science/technical texts in the grades 11—CCR text complexity band independently and proficiently.
<a href="https://www.compadre.org/introphys/items/detail.cfm?ID=6394">Gladding, Gary. Illinois PER Interactive Examples: Thrown Ball. Urbana: University of llinois Physics Education Research Group, June 16, 2006.</a>
G. Gladding, (University of llinois Physics Education Research Group, Urbana, 2006), WWW Document, (https://per.physics.illinois.edu/per/IE/ie.pl?phys111/ie/02/IE_thrown_ball).
G. Gladding, Illinois PER Interactive Examples: Thrown Ball (University of llinois Physics Education Research Group, Urbana, 2006), <https://per.physics.illinois.edu/per/IE/ie.pl?phys111/ie/02/IE_thrown_ball>.
Gladding, G. (2006, June 16). Illinois PER Interactive Examples: Thrown Ball. Retrieved October 8, 2024, from University of llinois Physics Education Research Group: https://per.physics.illinois.edu/per/IE/ie.pl?phys111/ie/02/IE_thrown_ball
Gladding, Gary. Illinois PER Interactive Examples: Thrown Ball. Urbana: University of llinois Physics Education Research Group, June 16, 2006. https://per.physics.illinois.edu/per/IE/ie.pl?phys111/ie/02/IE_thrown_ball (accessed 8 October 2024).
Gladding, Gary. Illinois PER Interactive Examples: Thrown Ball. Urbana: University of llinois Physics Education Research Group, 2006. 16 June 2006. 8 Oct. 2024 <https://per.physics.illinois.edu/per/IE/ie.pl?phys111/ie/02/IE_thrown_ball>.
%A Gary Gladding %T Illinois PER Interactive Examples: Thrown Ball %D June 16, 2006 %I University of llinois Physics Education Research Group %C Urbana %U https://per.physics.illinois.edu/per/IE/ie.pl?phys111/ie/02/IE_thrown_ball %O text/html
%0 Electronic Source %A Gladding, Gary %D June 16, 2006 %T Illinois PER Interactive Examples: Thrown Ball %I University of llinois Physics Education Research Group %V 2024 %N 8 October 2024 %8 June 16, 2006 %9 text/html %U https://per.physics.illinois.edu/per/IE/ie.pl?phys111/ie/02/IE_thrown_ball
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