Little Frufru is standing at the top of a lighthouse. She is 96 feet above the ocean. She tosses a ball into the air. The height, h, of the ball after x seconds is given by h = - 16t2 +64t +96. How many seconds does it take the ball to land in the ocean? Round to the neaest hundredth

5.16 seconds

Step-by-step explanation:

Think about a graph with h(t) as the y-axis, and t as the x-axis. Meaning at the start (0 seconds) the ball will be at 96 feet in the air (hence the constant/y-int). We want to see when that ball hits the exactly 0 feet. Which means it needs to touch the x-axis. So h(t) must equal 0. We can subtitute this in the equation:

Now we just need to find the factors. First we should make the coefficient 0 by adding everything to the left side:

Now divide both sides by 16:

Now we can Use the complete the square method:

Take have of 4 and then square it and add it to both sides:

Square both sides:

±

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Then, since it is only positive time you would get:

42.4

step-by-step explanation:

convert to decimal

0.6

39mph

step-by-step explanation: