answer:y in the mathematical model is the fall-height in the physical hypothesis, also denoted by 'y', measured in m. A in the mathematical model is the initial value of the physical property being modeled, such as the initial velocity or initial displacement. B in the mathematical model is the slope of the linear relationship or the rate of change of the dependent variable with respect to the independent variable, which could represent a constant acceleration or growth rate in physical systems. C in the mathematical model is the constant term, which might represent an offset from the origin or a baseline value for the dependent variable that does not change as the independent variable changes. x in the mathematical model is the independent variable which can represent time, distance or other independent factors that have an effect on the dependent variable 'y'.

answer:1. y in the mathematical model is the fall-height in the physical hypothesis, also denoted by 'y', measured in m. 2. A in the mathematical model depends on the specific equation being used. For example, in proportional/linear equations, A is the slope; in quadratic equations, A is the leading coefficient; and in exponential and sine equations, A is the amplitude. 3. B in the mathematical model also depends on the specific equation being used. In proportional/linear and quadratic equations, B represents an offset or a constant term. In exponential equations, B determines the growth rate. In sine equations, B affects the frequency/period. 4. C in the mathematical model refers to a constant term or an offset in the equation. It represents a baseline value for the dependent variable that doesn't change as the independent variable changes. Note that not all equations have a C term (e.g., there's no C in the quadratic equation mentioned). 5. x in the mathematical model is the independent variable, which can represent time (t) or other independent factors that have an effect on the dependent variable 'y'. Answer choices for the acceleration terms and times (from the set of equations) can be as follows: - 2*g: This term is relevant when considering the quadratic equation, y = A*x^2 + B, where A could be (1/2) * g, and this would represent the fall height (y) due to the acceleration due to gravity (g, measured in m/s²) and the time (t) squared. - g/2: This term could represent one half of the acceleration due to gravity (in m/s²). - g: This term represents the acceleration due to gravity (measured in m/s²). - y: This term represents the fall-height in the physical hypothesis (measured in m). - There was no C in mathematical model: This means there was no constant term or baseline value in the mathematical model provided. - 0: This could refer to the expected value of B in some equations, for instance, when it is not present in the physical hypothesis. - t: This term represents time (measured in seconds) in the mathematical model.

answer:As an AI language model, I am unable to draw an actual graph by hand. However, I can provide you with a text-based description of how to plot the given data points on a graph. 1. First, draw a set of axes on a piece of paper, labeling the x-axis as "Fall Time (s)" and the y-axis as "Fall Height (m)". 2. Choose an appropriate scale for each axis. For instance, you could use a scale of 0.1 for the x-axis so that 1 increment represents 0.1 seconds, and a scale of 0.5 for the y-axis so that 1 increment represents 0.5 meters. 3. Start plotting the given data points from the table: A. (0.553, 1.5): Find 0.553 on the x-axis and 1.5 on the y-axis, then mark a point where the two intersect. B. (0.495, 1.2): Find 0.495 on the x-axis and 1.2 on the y-axis, then mark a point where the two intersect. C. (0.452, 1.0): Find 0.452 on the x-axis and 1.0 on the y-axis, then mark a point where the two intersect. D. (0.319, 0.5): Find 0.319 on the x-axis and 0.5 on the y-axis, then mark a point where the two intersect. 4. Connect the points if needed (depending on your graph's purpose) or analyze the data points in relation to each other. In this case, to properly visualize the data, you could also create a graph using graphing software or tools like Excel or an online graphing calculator. This will give you a more accurate and visually appealing representation of the data points.

answer:To convert between Kc and Kp for a reaction, you can use the following relationship: Kp = Kc * (RT)^(Δn) where R is the gas constant (0.08206 L • atm/mol • K), T is the temperature in Kelvin (298 K), and Δn is the change in the number of moles of gas between products and reactants. For the reaction: 2NOBr(g) ⇌ 2NO(g) + Br2(g) The Δn is calculated as: Δn = moles of gaseous products - moles of gaseous reactants Δn = (2 + 1) - 2 = 1 Given that Kc = 2.8e-4, R = 0.08206 L • atm/mol • K, and T = 298 K, we can calculate the value for Kp: Kp = Kc * (RT)^(Δn) Kp = (2.8e-4) * (0.08206 * 298)^1 Kp = (2.8e-4) * 24.45168 Kp = 6.84647e-3 Thus, the value of Kp at 298 K for this reaction is approximately 6.85 × 10^-3.