An object is dropped from a height of 60 feet. Use the position equation s = -16t² + v₀t + s₀ to write a function that represents the situation and select the graph of the function. A)s = 16t² + 60 B)s = -16t² - 60 C)s = 16t² - 60 D)s = -16t² + 60 E)s = -16t² + 60t

Question

Quizplus · Accepted Answer

The given information tells us that the object is dropped from a height of 60 feet. Thus, the initial position (s) of the object is 60 feet, when t = 0. Also, the object is dropped, which means its initial velocity (v) is 0.

Using this information and the given position equation s = -16t² + vt + s0, we can write the function that represents the situation as:

s = -16t² + 60

The graph of this function would be a downward parabola, opening downwards, with vertex at (0, 60) and x-intercepts at (3.75, 0) and (-3.75, 0).

Option D represents this function, hence it is the correct choice.

An Object Is Dropped from a Height of 60 Feet