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

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