An object is dropped from a height of 15 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 + 15t B)s = -16t² + 15 C)s = -16t² - 15t D)s = 16t² + 15 E)s = -16t² - 15

Question

Quizplus · Accepted Answer

The position equation for this situation is s = -16t^2 + v0t + s0, where t represents time, v0 represents the initial velocity, and s0 represents the initial position. Since the object is dropped (i.e. it starts from rest), v0 = 0. And since the object is dropped from a height of 15 feet, s0 = 15. Therefore, the function that represents the situation is s = -16t^2 + 15. This is equivalent to choice B.

An Object Is Dropped from a Height of 15 Feet