Write the standard form of equation of the function that models the trajectory of the stone as a function of time.

Question

Johnson is standing on a 32-foot building. He tosses the stone into the air and it reaches a maximum height of 40 feet in 2 second before falling to the floor.

Question: Write the standard form of equation of the function that models the trajectory of the stone as a function of time

Answer is y=-2x²-8x+32 But I don't know how to get this answer

Answer 1

The equation provided cannot be right. The first term should be -gx²/2, where g is the acceleration of gravity, which is 32 ft/s². Then the first term should be -16x². Please check the original wording of the problem.