Determine the quadratic function whose graph is given.
-A flare fired from the bottom of a gorge is visible only when the flare is above the rim. If it is fired with an initial velocity of 160 ft/sec, and the gorge is 336 ft deep, during what interval can the flare be seen? (h = -16t² + vot +
Ho) )

Question

Quizplus · Accepted Answer

The quadratic function for the height of the flare over time, given the initial velocity (vo) and initial height (Ho), is h = -16t^2 + vot + Ho. Here, vo = 160 ft/sec, and Ho = -336 ft (since the gorge is 336 ft deep, we consider it as a negative height). The question asks for the interval during which the flare is above the rim of the gorge, meaning when h > 0. Plugging in the given values, we get the equation for the height of the flare as h = -16t^2 + 160t - 336. Solving this quadratic equation for when h > 0 gives us the interval during which the flare is visible above the gorge. The correct interval, based on the physics of projectile motion and the given initial conditions, is from 3 to 7 seconds, which corresponds to choice B.

Determine the Quadratic Function Whose Graph Is Given