Edexcel Mathematics October 2021 · Paper 2 · Question 10 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

October 2021 · Paper 2 · Question 10 · 6 marks

10. The time, T seconds, that a pendulum takes to complete one swing is modelled by the formula T = al b where l metres is the length of the pendulum and a and b are constants. (a) Show that this relat ionship can be written in the form log10 T = b log10 l + log10 a (2) (– 0.7, 0)(0.21, 0.45) Olog10 T log10 l Figure 3 A student carried out an experiment to find the values of the constants a and b. The student recorded the value of T for different values of l. Figure 3 shows the linear relationship between log10 l and log10 T for the student’s data. The straight line passes through the points (– 0.7, 0) and (0.21, 0.45) Using this information, (b) find a complete equation for the model in the form T = al b giving the value of a and the value of b, each to 3 significant figures. (3) (c) With reference to the model, interpret the value of the constant a. (1) 27 28 29

Lesson: Exponential Functions and Their Graphs