2. A brick becomes dislodged from the top of the Empire State Building (at a height of 1250 feet) and falls to the sidewalk below. s(t) = -16t? + vot + So a. Write the position, velocity, and acceleration functions for the brick's fall. (3 pts) s(t) = v(t) = a(t) = b. How long does it take the brick to hit the sidewalk? Round your answer to the nearest tenth of a foot. (2 pts) c. How fast is the brick traveling when it hits the sidewalk? Round your answer to the nearest tenth of a second. (2 pts) d. What is the acceleration of the brick when it hits the sidewalk? (2 pts)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
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Could u answer 2a,2b,2c, and 2d please?
Ethan Vo-pal 1
ASYNC #2 Week of 5/10 – Higher Order Derivatives
1. Find the second derivative of: f(x) = (x + 2)(x – 2)(x + 3)(x – 3). Show all work to recelve fun
credit. Express your answer in simplest form. (3 pts)
(x-2)( +2)Cx+3) (x-3)Cx+2)(x+3) (x-3) (x-2 JC*«3) *
(x-3 )Cx -2)(x +a)
4 x3-26x
12x-26
2. A brick becomes dislodged from the top of the Empire State Building (at a height of 1250 feet) and
falls to the sidewalk below.
s(t) = -16t² + vot + so
a. Write the position, velocity, and acceleration functions for the brick's fall. (3 pts)
s(t) =
v(t) =
a(t) =
b. How long does it take the brick to hit the sidewalk? Round your answer to the nearest tenth of a foot.
(2 pts)
c. How fast is the brick traveling when it hits the sidewalk? Round your answer to the nearest tenth of a
second. (2 pts)
d. What is the acceleration of the brick when it hits the sidewalk? (2 pts)
Transcribed Image Text:Ethan Vo-pal 1 ASYNC #2 Week of 5/10 – Higher Order Derivatives 1. Find the second derivative of: f(x) = (x + 2)(x – 2)(x + 3)(x – 3). Show all work to recelve fun credit. Express your answer in simplest form. (3 pts) (x-2)( +2)Cx+3) (x-3)Cx+2)(x+3) (x-3) (x-2 JC*«3) * (x-3 )Cx -2)(x +a) 4 x3-26x 12x-26 2. A brick becomes dislodged from the top of the Empire State Building (at a height of 1250 feet) and falls to the sidewalk below. s(t) = -16t² + vot + so a. Write the position, velocity, and acceleration functions for the brick's fall. (3 pts) s(t) = v(t) = a(t) = b. How long does it take the brick to hit the sidewalk? Round your answer to the nearest tenth of a foot. (2 pts) c. How fast is the brick traveling when it hits the sidewalk? Round your answer to the nearest tenth of a second. (2 pts) d. What is the acceleration of the brick when it hits the sidewalk? (2 pts)
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