### Maximizing the Range of a Projectile

Resource:
Science Reasoning Center: Maximizing the Range of a Projectile

Description:
This passage uses Excel-generated plots to describe the trajectory of a projectile, to compare the trajectories for three different launch angles, and to show the effect of launch angle upon range for three different launch speeds. Questions target a student's ability to read graphical information, to interpolate from graphs, to recognize the effect of one variable on another variable, and to use information presented in graphs to answer related questions.

This activity aligns with the three dimensions of the Next Generation Science Standards in the manner described below:

Crosscutting Concepts
 Patterns: Empirical evidence is needed to identify patterns. When empirical data of an object’s projectile motion are analyzed, relationships emerge and patterns inherent in nature become visible.  This exercise in data analysis—one in which students investigate how launch angle and speed affect an object’s range—lead students to see many patterns.  One such pattern is that, for a given speed, each launch angle and its complement have the same range.  Passages such as this one allow students to come to this understand themselves through the data analysis process. Cause and Effect: Systems can be designed to cause a desired effect. Maximizing range, time of flight, and height attained are all authentic projectile motion investigations that have relevance in sports and other aspects of life.  To understand what causes produce these desired effects is the focus of this passage.  Students build their understanding of such cause and effect relationships in this analysis and can use these results to achieve a desired effect whenever an object is thrown, hit, or launched.

Practices
 Analyzing and Interpreting Data:  Analyze data using tools, technologies, and/or models (e.g., computational, mathematical) in order to make valid and reliable scientific claims or determine an optimal design solution. All questions posed in this data-rich presentation require the analysis and interpretation of graphs.  It is the analysis of such data that will lead students to make claims about the patterns that emerge and the cause and effect relationships that can be found within a projectile’s motion.

Associated Reading from The Physics Classroom

Other Supporting Pages at The Physics Classroom:

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