The height of a soccer ball can be modeled by the function h (t) = - 8t2 + 32t. Where h (t) is the height in feet and t is the in seconds. Find the time when the soccer ball reaches its maximum height

1 sec

2 sec

3 sec

4 sec

Question

Mathematics

Dex

5 March, 20:30

The height of a soccer ball can be modeled by the function h (t) = - 8t2 + 32t. Where h (t) is the height in feet and t is the in seconds. Find the time when the soccer ball reaches its maximum height

1 sec

2 sec

3 sec

4 sec

+4

Answers (1)

Know the Answer?

Kayla · Answer 1

2 seconds

Step-by-step explanation:

We want to find when h (t) = 0

0 = - 8t^2 + 32t

factor out a - 8t

0 = - 8t (t-4)

Using the zero product property

-8t = 0 and t-4=0

t = 0 and t=4

t=0 is when it is dropped and t=4 is when it lands

The maximum height is halfway in between

(0+4) / 2

2 seconds

The height of a soccer ball can be modeled by the function h (t) = - 8t2 + 32t. Where h (t) is the height in feet and t is the in seconds. Find the time when the soccer ball reaches its maximum height1 sec2 sec3 sec4 sec

The height of a soccer ball can be modeled by the function h (t) = - 8t2 + 32t. Where h (t) is the height in feet and t is the in seconds. Find the time when the soccer ball reaches its maximum height

1 sec

2 sec

3 sec

4 sec