An object is thrown upward from a height of 8 feet at a velocity of 72 feet per second. Use the position equation s = -16t₂ + v₀t + s₀ to select a function that represents the situation and select the graph of the function. A) s = -16t² - 72t + 8 B) s = -16t² + 72t C) s = -16t² + 72t - 8 D)s = -16t² + 72t + 8 E) s = -16t² - 72t - 8

Question

Quizplus · Accepted Answer

Using the position equation s = -16t^2 + vt + s0, where v is the initial velocity and s0 is the initial height, we can plug in the given values and simplify:
s = -16t^2 + 72t + 8
This matches option D, so the answer is D. The graph of this function would be a downward-facing parabola opening up, since the coefficient of t^2 is negative. The vertex of the parabola would represent the maximum height reached by the object.

An Object Is Thrown Upward from a Height of 8