Hello. In this bowler number 57 it is told that person is standing close to the edge off a top of her 1 60 foot building through the baseball vertically upwards. OK, something is given. It's a question is given Esty. Yes. T minus 16 DS squired. Bless 64 b bless 1 60 which is well in the farm off a X Esquire. Blessed be x bless. See Okay with the potential parabola. So go to represent parable as to in friggin So our problem is question number A After how many seconds is the boiled ages? The maximum here, if become bad is listing zero because it is equal to minus 16 so there will be minimal. Also there will be Maxima and vortex will be like this. Okay, No, for this case for this case, the Vertex are in our according to our give any question vortex will be de Goma s de That is he will be in place off x an SD And what this tea will be. He will be minus B over the way that if he compared this be good minus 64 over doing to minus 16. That is minus 64 over my minister Tito. That is, too. It means when d equal to two seconds in the ball bill born real reach its maximum value. It's maximum height, it's maximum height. And what is that message? Might this maximum height will be value off as the value of s at he called you to which will be if we can find just plugging in equals toe in our given equation that is 64 in tow to blessed 1 60 which will be to its wherefore that in minus 64. Bless 64 into 2128 miss 1 60 that is it will be 1 60 plus 64. This is 1 63 1 60 less 64 that is 24 feet What you're thinking for. So we have maximum at time maximum at time Sequel to to second and maximum Hi equal to to 24 for so this should be the answer apart. Okay. To a second and 24 feet Maar for part B, it is told that how many seconds that it take until the ball finally here is the ground around or there nears 10 top a second it means how many seconds after eating. First off all, let us recall what will happen when ball Bill hit ball will hit the ground. Well, then, Esti become zero that is minus extend T Esquire plus 64 day bliss 1 60 equal to zero that if you take minus 16 common, it will become Ah do you square minus 40 10 equal to zero. So if you divide both sides by minus 16 Vic it Dear Square minus 40. Let's stand equal to Zito. So according Toa are quality formula You get equal to minus minus four Bless minus mine's 40 square for into one and to then Oh yes, it should be mine because we already had taken minus the common welcome minus B minds my four plus minus squares. This should be oh minus 10. Well, we're two into one, so it will be full Less minus 16 plus 40 over to that is four plus minus 56. A little 34 Bless minus or we can take for over here. Oh, no, We should take to outside and inside. It will be 14 over to No, you know, if you take two as common it will become two plus miners on little 14 over tow. This too. This too gets cancel out to plus minus on road 14. No, we should write under 14 equal to under sort Any pinto? 8.7416 find. So it becomes three, quien 74165 So we have two values off T. That is two minus three point 74165 and two plus 3.74165 Now one creatively say that this is negative. And what time cannot be negative. So this will lose neglected. So we're left with only one value. That is equal to five point 74165 And we are being told toe around to the ah, near stand off a second. So be will approximately be five point seven second. This should be dance studio Father. Second part. Okay. Malcolm's turned black. That is C to see Park s zero. Describe what days? Men s zero That is value off s de at equal to zero. So it becomes after plugging in the value in Givens equation 16 into zero square 64 in 20 bliss 1 60 that is zero plus zero. It becomes 1 60 So we have as zero equal to 1 60 foot 1 60 feet. Okay. Which means it means it demands the height off the ball. It maize. Hi. Off the bar from the ground just before throwing. Okay, which is the high initial head? That is the height of the building. Okay, the you is just one part of it. And see to craft the quality function, begin the gravity zero and inevitability borders the ground. Okay, so let us try and draw the graph. This is Esti. This is D. Well, first of all, at equal to zero, we have as two and 60 feet. Let us right here. 1 60 Here. This is a starting point. Okay? I have maximum height. That is as equal to a two second. It goes to 2.2 24. Equal toe to second, where it is registration to second. It goes to later today. 2 24 So this is the point. We should be out of our techs to 2 24 to second. The height is 24 feet. Okay. After 5.7, or at 5.7 seconds. It reached the ground. That is, I had become zero. So let us take 51 seven, second over here by 0.7 seconds. It hits the ground. So our graph, man, roughly look like this. Okay, this should be the vortex, and I mean maximum value. Okay. And again, just take it or not. Okay. The graph real roughly. You look like this.