Question

Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function h(t) = -16t^2 + 96t gives the height, in feet, of the soccer ball after t seconds. This function is shown in the graph below.

Answer 1

What are the zeros?

Answer 2

@Keridavis I'm not understanding what you're asking.

Answer 3

Thats the question.. thats my problem.. I don't understand it either..

Answer 4

do you know what zeros are?

Answer 5

hint: has to do with the x-axis

Answer 6

I believe I understand it. He is right. Look at the X-Axis.

Answer 7

But, thats time right?

Answer 8

sure, in this particular graph t (time) is represented on the x-axis.
so in finding the zeros we need to figure out where the function h(t) hits the x-axis

Answer 9

Couldn't you put it in a calc?

Answer 10

find the root of the funtion h(t)

Answer 11

I dunno how to find that..

Answer 12

equate the function to zero then solve for x

Answer 13

There is no need for a calculator
The problem is simpler than you think

Answer 14

that's right. hehehe

Answer 15

Do not equate the function to 0 and solve for x, there is no x in this function, only t's

Answer 16

We want to know when the height is 0
Look at the graph and tell me when the height is 0

Answer 17

Oh alright

Answer 18

0 and 6

Answer 19

Yes

Answer 20

so 0 and 6 are the zeros?

Answer 21

@Keridavis correct. there are your zeros.

Answer 22

How long will it take for the ball to hit the ground?

Answer 23

6?

Answer 24

Yes

Answer 25

What do the x-intercepts represent in this real life situation in regards to the height of the soccer ball at that time? is it the time?

Answer 26

yes, at time 0 and 6 the height of the ball is also 0

Answer 27

@brownjesse42 correct. @Keridavis

Answer 28

Does this graph have a minimum, maximum or neither?

Answer 29

@brownjesse42

Answer 30

@e.mccormick