A rock is propelled upward from the top of a building 110 feet tall at an initial velocity of 200 feet per second. Give the function that describes the height of the rocket in terms of time t.
A) $f ( t ) = - 200 t ^ { 2 } + 16 t + 110$
B) $f ( t ) = - 16 t ^ { 2 } + 200 t + 110$
C) $f ( t ) = - 16 t ^ { 2 } + 110 t + 200$
D) $f ( t ) = 16 t ^ { 2 } + 200 t + 110$

Question

Quizplus · Accepted Answer

The correct function for the height of the rocket in terms of time $t$ is given by the equation $f(t) = -16t^2 + 200t + 110$, which follows the standard form of the equation for projectile motion $f(t) = -16t^2 + v_0t + h_0$, where $v_0$ is the initial velocity and $h_0$ is the initial height.

A Rock Is Propelled Upward from the Top of a Building