Identify the initial conditions y(0) and y'(0) for the vertical motion of an object, if the object is dropped from a height of 40 feet. [Take the origin to be on the ground.]
A) y(0) = 0, y'(0) = 0
B) y(0) = 40, y'(0) = 40t
C) y(0) = 0, y'(0) = -40
D) y(0) = 40, y'(0) = 0

Question

Quizplus · Accepted Answer

Since the object is dropped (not thrown), its initial velocity is 0, meaning y'(0) = 0. The object is dropped from a height of 40 feet, so its initial position is y(0) = 40 feet above the origin.

Identify the Initial Conditions Y(0) and Y'(0) for the Vertical