A bird drops a stick from the top of Miami Tower. The height of the stick after x seconds is given by f (x) = 625 – 16x^2

Challenge exercise: Apply what was explained in the previous exercise and solve. Participate in the forum and leave your response. Algebra, quadratic equation, quadratic function, parabola, vertex, solutions, roots or zeros. Intersection of the curve with the X axis, with the y axis.

1) A bird drops a stick from the top of Miami Tower. The height of the stick
after x seconds is given by f (x) = 625 – 16x^2. Select all the correct interpretations of the coordinates of the point at the maximum of the function f (x).

A the time it takes the stick to hit the ground
B the time when the stick is at its highest point
C the height of the stick when it is dropped from Miami Tower
D the time when the stick is dropped from the top of Miami Tower
E the distance of the stick from Miami Tower when it hits the ground

Challenge exercise: Apply what was explained in the previous exercise and solve. Participate in the forum and leave your response.

2) A rock is thrown into the air from the edge of a cliff. The height of the rock above the ground after t seconds is given by the function h(t)=20t−5t^2

Find the coordinates of the point at which the rock reaches its maximum height, and interpret what those coordinates represent in the context of the problem.