Select the correct answer. A baseball is thrown into the air from the top of a 224foot tall building. The baseball's approximate height over time can be repres
Mathematics
jada2495
Question
Select the correct answer.
A baseball is thrown into the air from the top of a 224foot tall building. The baseball's approximate height over time can be represented by the quadratic equation h(t) = 16t2 + 80t + 224, where t represents the time in seconds that the baseball has been in the air and h(t) represents the baseball's height in feet. When factored, this equation is h(t) = 16(t  7)(t + 2).
What is a reasonable time for it to take the baseball to land on the ground?
A.
7 seconds
B.
2 seconds
C.
9 seconds
D.
5 seconds
A baseball is thrown into the air from the top of a 224foot tall building. The baseball's approximate height over time can be represented by the quadratic equation h(t) = 16t2 + 80t + 224, where t represents the time in seconds that the baseball has been in the air and h(t) represents the baseball's height in feet. When factored, this equation is h(t) = 16(t  7)(t + 2).
What is a reasonable time for it to take the baseball to land on the ground?
A.
7 seconds
B.
2 seconds
C.
9 seconds
D.
5 seconds
1 Answer

1. User Answers agboanthony124
Answer:The reasonable time for the base ball to land on the ground is 5 seconds
Stepbystep explanation:
To get the time we will differentiate
h(t) = 16t2 + 80t + 224, w.r.t t
dh(t)/dt= 0
32t +80=0
32t=80
t=80/32
t= 2.5 seconds This is the time the base ball has been in the air
The reasonable time for it to take the baseball to land on the ground is T= 2×t
T= 2×2.5
T=5 seconds