Ms. Florczynski Algebra II Name:____________________________________________________________________ Date:______________ Projectile Motion Project (Quiz Grade) In this project, you will create your own projectile motion word problem to model the function 𝒉(𝒕) = −𝟏𝟔𝒕𝟐 + 𝒗𝒐 𝒕 + 𝒉𝒐 where t is time in seconds, vo is initial velocity, and ho is initial height. You will be graded on creativity as well as the accuracy and completeness of your work. Directions: and specify the initial height and velocity. 1) Create a situation in which you are throwing/launching/dropping an object. Write out in a few sentences the situation. Include who, what, where, when and why (BE CREATIVE! See p. 292 and 298 in your text for models and ideas). 2) Write a quadratic function to model the situation using the initial height and velocity that you create. 3) Find the axis of symmetry. (SHOW ALL WORK!) 4) Find the vertex. (SHOW ALL WORK!) Interpret in a sentence the meaning of the x and y values within the context of your problem. 5) State whether your parabola will open upwards or downwards and how you know. 6) Graph your function. Be sure to label the axes and title the graph. You may change the scale of the axes if you want, or create a graph on the computer. 7) Solve your quadratic equation (approximate if necessary). Interpret the solution within the context of your problem in a sentence. 8) Draw a picture (separate from your graph) modeling the problem. You can print out pictures from the Internet or draw freehand. Please remember to keep your projects school appropriate! Due Date: ____________________________________________________________________ To be handed in on the due date: - graph - picture - lined paper with all work and explanations - rubric Each day the project is late is MINUS 10 POINTS! Missing Rubric is MINUS 4 POINTS! Ms. Florczynski Algebra II Name:____________________________________________________________________ Date:______________ Project Rubric Not Included (0 points) Unsatisfactory (1 points) Satisfactory (2 points) Proficient (3 points) Exemplary (4 points) Description of situation/ Quadratic Function No equation is written and no situation is explained Equation is written, no situation explained. Equation is written, situation is outlined Equation is written and situation is explained in a sentence Equation is written and creative situation is explained thoroughly in a sentence Calculation of Axis of Symmetry, Vertex, and min/max value Interpretation of vertex No key features are calculated All 3 correct with no work 1 calculated correctly with organized work 2 calculated correctly with organized work All 3 calculated correctly with organized work No interpretation given Interpretation given, but both incorrect. X or Y value interpreted correctly X and Y value interpreted correctly X and Y value interpreted correctly and thoroughly in complete sentences Graph of Function No graph included Graph included, no ruler used, not in pencil, no title or labels on axes Graph included, pencil used, ruler used, missing labels and title Graph included, pencil used, ruler used, titled and labeled Graph included, pencil used, ruler used, titled and labeled, key features labeled. Solution and Interpretation of Quadratic Function No solutions attempted Solutions/ approximations stated, no interpretation Solutions stated and interpretation stated, both incorrect Solutions stated and interpretation stated, one correct Solutions and interpretation stated and correct in full sentences Picture of situation No picture included Quickly put together with no detail Some detail, not in color Detailed and in color Creative, detailed, and in color Hand rubric in with project on Due Date = 4 points Total points from Rubric x 4 = _____________________________ x 4 =