7) BRAINLIEST AND 15 POINTS! :) HELP ASAP

c.) .5 seconds

Step-by-step explanation:

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

If we want to know when the object hits the groupd, that means y, the height, must be 0.

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

Now we can solve. We can take a factor of 2 out of every term to make it easier on the brain :,)

0 = 2(-8t^2 + 2t + 1)

0/2 = -8t^2 + 2t + 1

0 = -8t^2 + 2t + 1

Now we can use the quadratic formula to get the solutions. (Remember that it's , with the standard form of a quadratic being ax^2 + bx + c.) You could also factor, if you like that sort of thing.

x = 1/2, -1/4

Now we know we can't have negative seconds, so the answer is 1/2 seconds, or c.) .5 seconds.