Physics

Part 3: Trigonometry Write the basic formulas for each one of the following trigonometric functions. Remember SOH CAH TOA in an acronym, NOT an equation! sin 8 : cos 0= tan 0 = 0 = sin"( e = cos" ( e = tan" ( Calculate the following unknowns using trigonometry. Use a calculator, but show all of your work. Please include appropriate units with all answers. (Watch the unit prefixes!) Note: All triangles have a right angle. 12 m 6.2 cm 59.3 km 8 = 30 0 = 17* 9 = 60 39.8 m 2.3 mm 17 m 4.3 m 1.4m 15.1 m C= - R= _ 13.7 m 48.2 km mm 8= 26' 7 me 21.6 kim *= _ R = _ d=_ Conceptual Review of Graphs 1) Shown are several lines on a graph. Rank the slopes of the lines in this graph. Explain your reasoning. 3) Four points are labeled on a graph. Rank the slopes of the graph at the labeled points. Greatest Explain your reasoning. Linear and Nonlinear Functions Let's review what graphs of certain functions look like, sketch the shape of each type of y vs. x function below. [k is listed as a generic constant of proportionality.] Linear y = kx Inverse y = k/x Inverse Square y = /x2 Power y = kx2 5) Inverse Graph y = k / x Show work: Vertical Axis: Horizontal Axis: 6) Inverse Square Graph y = k / x2 Show work: Vertical Axis: Horizontal Axis: 7) Power (Square) Graph y = k x2 Show work: Vertical Axis: Horizontal Axis: Marbles in Cylinder Lab - You're given a graduated cylinder with three identical marbles and an unknown amount of water already in it. Additional identical marbles are placed into the cylinder and the following data is obtained. ) Use the data, graph a best-fit line showing the relationship between the water level and the number of marbles. Label your axes and include units. Number of Marbles Water level (ml.) in Water 9) From the graph, provide a mathematical formula for the water level for any number of marbles: 10) Explain the physical importance of the slope and what the y-intercept indicates. 1) How much water was in the graduated Cylinder to begin with? How do you know ?Part 3: Trigonometry Write the basic formulas for each one of the following trigonometric functions. Remember SOH CAH TOA in an acronym, NOT an equation! sin 8 : cos 0= tan 0 = 0 = sin"( e = cos" ( e = tan" ( Calculate the following unknowns using trigonometry. Use a calculator, but show all of your work. Please include appropriate units with all answers. (Watch the unit prefixes!) Note: All triangles have a right angle. 12 m 6.2 cm 59.3 km 8 = 30 0 = 17* 9 = 60 39.8 m 2.3 mm 17 m 4.3 m 1.4m 15.1 m C= - R= _ 13.7 m 48.2 km mm 8= 26' 7 me 21.6 kim *= _ R = _ d=_ Conceptual Review of Graphs 1) Shown are several lines on a graph. Rank the slopes of the lines in this graph. Explain your reasoning. 3) Four points are labeled on a graph. Rank the slopes of the graph at the labeled points. Greatest Explain your reasoning. Linear and Nonlinear Functions Let's review what graphs of certain functions look like, sketch the shape of each type of y vs. x function below. [k is listed as a generic constant of proportionality.] Linear y = kx Inverse y = k/x Inverse Square y = /x2 Power y = kx2 5) Inverse Graph y = k / x Show work: Vertical Axis: Horizontal Axis: 6) Inverse Square Graph y = k / x2 Show work: Vertical Axis: Horizontal Axis: 7) Power (Square) Graph y = k x2 Show work: Vertical Axis: Horizontal Axis: Marbles in Cylinder Lab - You're given a graduated cylinder with three identical marbles and an unknown amount of water already in it. Additional identical marbles are placed into the cylinder and the following data is obtained. ) Use the data, graph a best-fit line showing the relationship between the water level and the number of marbles. Label your axes and include units. Number of Marbles Water level (ml.) in Water 9) From the graph, provide a mathematical formula for the water level for any number of marbles: 10) Explain the physical importance of the slope and what the y-intercept indicates. 1) How much water was in the graduated Cylinder to begin with? How do you know