A person standing close to the edge on the top of a 170-foot building throws a baseball vertically upward. The quadratic function giv through (d). s(t) = - 1612 + + 64t + 170 %3D

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter10: Quadratic Equations
Section10.5: Graphing Quadratic Equations
Problem 209E: In the previous set of exercises, you worked with the quadratic equation R=x2+40x that modeled the...
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A person standing close to the edge on the top of a 170-foot building throws a baseball vertically upward. The quadratic function given below models the ball's height above the ground, s(t), in feet, t seconds after it was thrown. Complete parts (a)
through (d).
s(t) = - 16t + 64t + 170
a. After how many seconds does the ball reach its maximum height? What is the maximum height?
The ball reaches its maximum height of feet after seconds.
b. How many seconds does it take until the ball finally hits the ground?
It will take seconds for the ball to hit the ground.
(Round to one decimal place as needed.)
c. Find s(0) and describe what this means.
The value of s(0) is
which is
d. Use your results from parts (a) through (c) to graph the quadratic function. Begin the graph with t=0 and end with the value of t for which the ball hits the ground. Choose the correct graph below.
O A.
В.
Oc.
D.
As(t)
As(t) O
As(t)
As(t)
125-
250-T
10
Transcribed Image Text:A person standing close to the edge on the top of a 170-foot building throws a baseball vertically upward. The quadratic function given below models the ball's height above the ground, s(t), in feet, t seconds after it was thrown. Complete parts (a) through (d). s(t) = - 16t + 64t + 170 a. After how many seconds does the ball reach its maximum height? What is the maximum height? The ball reaches its maximum height of feet after seconds. b. How many seconds does it take until the ball finally hits the ground? It will take seconds for the ball to hit the ground. (Round to one decimal place as needed.) c. Find s(0) and describe what this means. The value of s(0) is which is d. Use your results from parts (a) through (c) to graph the quadratic function. Begin the graph with t=0 and end with the value of t for which the ball hits the ground. Choose the correct graph below. O A. В. Oc. D. As(t) As(t) O As(t) As(t) 125- 250-T 10
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