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t=0.64

Step-by-step explanation:

h = -16t^2 +4t +4

We want h =0 since it is hitting the ground

0 = -16t^2 +4t +4

Using the quadratic formula

a = -16  b = 4  c=4

-b ± sqrt( b^2 -4ac)

         2a

-4 ± sqrt( 4^2 -4(-16)4)

         2(-16)

-4 ± sqrt( 16+ 256)

         -32

-4 ± sqrt( 272)

         -32

-4 ± sqrt( 16*17)

         -32

-4 ± sqrt( 16) sqrt(17)

         -32

-4 ± 4 sqrt(17)

         -32

Divide by -4

1 ±  sqrt(17)

         8

To the nearest hundredth

t=-0.39

t=0.64

Since time cannot be negative

t=0.64

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