Point M moves between two points A and B, that a are 10 meters apart, with speed v=2 m/s. For each position of M we consider the equilateral triangles AMG and MBD A) Find the sum of areas of the two triangles as a function of time t B) For which time t is the area defined by question A the minimum and what is that minimum area C) In which position of the point M we have the minimum area D) What is the rate of change of Area when the distance AM=8m

Point M moves between two points A and B, that a are 10 meters apart, with speed v=2 m/s. For each position of M we consider the equilateral triangles AMG and MBD A) Find the sum of areas of the two triangles as a function of time t B) For which time t is the area defined by question A the minimum and what is that minimum area C) In which position of the point M we have the minimum area D) What is the rate of change of Area when the distance AM=8m