TThe height h (in feet) of an object that is Idropped from a height of s feet is given by the formula h =s 16t^2 , where t is the time the object has been falling: ...

The height $h$ (in feet) of an object that is dropped from a height of $s$ feet is given by the formula $h=s-16 t^{2}$ where $t$ is the time the object has been falling. A 5 -foot-tall woman on a sidewalk looks directly overhead and sees a window washer drop a bottle from four stories up. How long does she have to get out of the way? Round to the nearest tenth. (A story is 12 feet.)

When an abject is dropped from a starting height ass. The height of that object can be given by the equation. H equals asked minus 16 t squared. So in her problem, um, the window washer drops the bottle from four stories up, and we're told that each story is 12 feet. So that means we have 48 feet as our initial height of us, and then our person who's looking out of the way. It's five feet tall, so we're gonna make this five, and then we still have our minus 16 t squared that we're solving for. So if I subtract 48 5 minus 48 what could be negative 43 is equal to negative 16 t squared. And when I divide by negative 16 that's going to be 2.6875 And then when I take the square root of all sides, I would ignore the negative square root cause time is gonna be non negative in this situation. So the square root of that is about 1.639 and were asked to find to the nearest 10th so 1.6 seconds is the answer

Okay for this problem. We told their potential accident, and we're going to user quadratic knowledge in math understanding to solve for how much time this woman would need. Teoh, move if she's going to avoid something falling on her. Okay, So we know the formula provided for us is that we have hh equals two. Yes, my 16 t square. So that represents the height that the object is falling on. We also know that when they see the woman is five foot tall. So since you want to solve for the time we wanted to you beached by the time of which eat, it reaches five feet and s is the overall height. So I hate me, Said Drops is 12 feet. Sorry. Four stories. So it's four stories, but they say a story is 12 feet. So take a four stories times 12 48 feet kiss, then that's 48 minus 16. 90 squared. And based on the format of this equation, what I can do is I can of subtract 48 from both sides, get it into a format where I can use a square root method. So this shows us that negative 43 Negative. 16 square. Now I can the Bible sides by negative 16 to get rid of that. So divide by negative 16 divided by 1980 16. I'm gonna change this site that it's on here, so that cancels out something t square. In a good way it comes. Positive numbers of 43 divided by 16 is to classics 875 in the final step we have here in this format was a spirit method and take a spirit herbal size. So if we get this squared X squared, we get T. Technically, it's plus or minus. This were irritable sites. I'm gonna ignore the negative answer because there's no such thing as negative time. And if I take this, we're route of 2.875 I get 1.65 So 1.639 and this problem ask just around to the nearest 10th. So will this answer the final question here? So, um, just answer in a sentence. She has about 1.6 seconds to move out of the way. All right, so that's how we solve that problem.

1 27 We're given the equation. H he well, Negative. 16. He's flared, plus age of zero, where H subzero is the feet above ground level. So age sub zero equals to a V eight, and they're asking us the time it will take to reach the ground. So the ground is zero each, though. Is that to a eight? The unit says speak. I'm gonna subtract 2 88 I have negative 16. He's where he will negative to a being. I can grow up the negatives of both sides. Divide by 16 and I get he squared. He was 18. Then I take the square root of both sides. 30 would equal plus or minus the square root of 18. Now I don't have to worry about minus because top. It's time so we don't have negative time. So our answer is just the positive Time equals and I've been a simplified square 18 three square root of two. And that's my exact answer. My approximate answer would be or or 24 Taking up the hundreds four and 24 hundreds on time, I believe is in seconds. Yes, this would be insect

So we have the equation Each he wolves negative 16 e squared. What's H so? And they're getting us. H Savo. He wants 96 Ask in part. A after distance hit the ground. So half of 96. 48 people's negative. 16. He's weird plus 96. Subtract 96 for both signs. We can't negative for eight equals negative. 16. He's where? E draft negative science. Of those. I survived by 16 and I get He's squared. He was three. So t would eat What? This rare root buster minus of three. Again, we're talking time, so we're only looking at the positive value. But I want to make sure that whenever you take a square root you're taking plus reminding So the square root of three. And that's about one point that they three seconds. So for Part B, we're not using half the distance where you think the whole distance evolved to the ground, so I have to be zero negative. 16. He square plus 96. Subtract 96. I have naked of 96 equals negative 16. He's layered. Cancel the negatives on both sides, which gives me 96 equal 16. Please where divide both sides by 16 and I get he's squared equal. Six. They're four e equals, plus or minus is where Room of six. Hey, equals plus or minus This Where of six. But since we're talking about time, our that is the positive 30 equals this We're route of six, which is about three white No. Two point for five second.