Determine the quadratic function whose graph is given.
-A coin is tossed upward from a balcony 186 ft high with an initial velocity of 16 ft/sec. During what interval of time will the coin be at a height of at least 90 ft?
(h = -16t² + vot + ho.)

Question

Quizplus · Accepted Answer

Given the quadratic equation for the height of the coin is $h = -16t^2 + 16t + 186$, we are asked to find when the height $h$ is at least 90 feet. Setting $h = 90$ and solving for $t$ gives us the interval during which the height is at least 90 feet. Solving the equation $-16t^2 + 16t + 186 = 90$ leads to finding the roots of the quadratic equation, which represent the times when the coin is exactly 90 feet high. The interval between these times gives us when the coin is above 90 feet. The correct interval that satisfies this condition is from $t = 0$ to $t = 3$, hence option D is correct.

Determine the Quadratic Function Whose Graph Is Given