Awater balloon is tossed into the air with an upward velocity of 25 ft/s. its height h(t) in ft after t seconds is given by the function h(t) = − 16t2 + 25t + 3. show your work.

19. after how many seconds will the balloon hit the ground? (hint: use the quadratic formula)

1.67 seconds

Step-by-step explanation:

h(t) = − 16t^2 + 25t + 3

When it hits the ground h=0

0 = − 16t^2 + 25t + 3

Using the quadratic formula

-b ± sqrt(b^2 -4ac)

       2a

a = -16  b=25  c =3

Substituting what we know

-25 ± sqrt(25^2 -4(-16)3)

       2(-16)

-25 ± sqrt(625 +192)

       2(-16)

-25 ± sqrt(817)

       -32

-25 + sqrt(817)              -25 - sqrt(817)

or

       -32                              -32

-.112                                 1.67

what shape is

think about the doctor who treated the major and the speaker in the short story "in another country." put yourself in the shoes of the doctor, and based on what you read in the story, write what you think his thoughts about the major and the speaker would be. use the following vocabulary in your response and change the form of these words as needed: detached resign withered