Awater balloon is thrown out of a window 96 feet above the ground. the balloon is traveling downward at 16 feet per second initially. if h is the balloon’s height in feet after t seconds, then

h = -16t 2 -16t + 96,

it will take the balloon
a0 seconds to hit the ground.

2 seconds

Step-by-step explanation:

Given :

To Find: after how many seconds it will hit the ground?

Solution:

The height of the balloon is given at time t :  

Now we re supposed to find after how many seconds it will hit the ground i.e. height will be 0 , h=0

Substitute h = 0 in the equation

Since the time cannot be negative

So, it will hit the ground after 2 seconds .

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)