ALGEBRA 2 Exam 8 continued Students Name When a fighter jet

ALGEBRA 2 Exam 8 continued Student\'s Name When a fighter jet travels faster than Student Number a cone. If the plane is flying at a constant hhe plane is flying at a constant altitude, this cone intersects the ground in the shape of one branch o m/s (which is a supersonic speed). In this model, let the position of the jet be the origin. vertex of the sonic boom hyperbola is on the ground 15 km behind the jet, and the hyperbola has an eccentricity of 1.5. Use a scale of 1 unit = 1 km for this model. f a hyperbola. Suppose a jet is flying north at level altitude and at a speed of 500 The 21. Find the coordinates of the focus and the equations of the asymptotes. Round all answers to the nearest hundredth. focus- asymptotes 22. Write an equation for the sonic boom hyperbola in standard form. 23. A person on the ground will hear the sonic boom when the hyperbola passes over him. Suppose the jet is located at the origin at time t0. The jet and the sonic boom line are moving due north at 500 m/s, and John is standing at (7, 10). Calculate the time, in seconds, until John will hear the sonic boom. Round your answer to the nearest tenth of a second.

Solution

Yes, all the answers are ok