So we have this question. Ah, a spring gun at ground level. Fires right. A golf ball at an angle 45 degrees. The Boland's 10 meters away. Right? So once again, 10 meters away. That, he said, is respect to the origin. Right? So from here to here is like the ball lands here, right? This is an X component. The ball lands here and his 10 meters weight. Right. So this is this length Year is 10 meters And um So what is the balls? Initial speed. Right. So it fires it at an angle of 45 degrees and the ball landed here. Right? So what is the balls? Initial speed. Well, you have the range formula, right? The range formula contains initial speeds. That arrange formula is signed to Alfa Reggie Wright. Eso here? We did not know Jiggy. So we're gonna use the general one, which is 9.8 meters for a second right meters for a second square. That is the acceleration due to gravity. Ah, So what else do we have? What else we have? We have the angle, right? The angle is 45 degrees. So sign two times the angle What is the angle? 45 degrees times to let its 19 right side signed 90 degrees. Andi have to find this guy right here. Right? And what is arranged to range, which is this length here is 10 right, 10 meters. So this range here is 10 meters, right? So 10 is sign 90 degrees over 9.8 meters for a second squared. Right? So we're just gonna multiply, cross, multiply by So I cross multiply would be gonna get We're gonna get 98 right? Cause 10 times 9.8 is 98. And if this is gonna be us, what is signed 90 we'll sign off 90 degrees. Um is one right? So sign 90 degrees is one. So just have this. So you have a bee's Venus queer. The initial velocity squared as 98. So how do you find the velocity? Just take a positive square with Great, Because you don't think plus or minus because you don't have a negative velocity, right? Okay, we do have a negative velocity, but this time it this a positive velocity that we were looking for, right? Because it fire from the ground, right? It is it is accelerating it. It's not decelerating, right? Eso we have in the positive square root off 98. But on a tag later, his seven route to or approximately approximately mine point 899 So you could make it known for 90 year old right Could make it nine point 90 uh, meters for a second. So this is the initial velocity. Good. So to be part, what does it be porcine Perry asked to do in the be part if you've already saying that for the same initial speed sort of for the same initial speed that we found, uh, find it to firing angles that makes arrange six meters. Right. So we need to find two firing angles that make this range here, which is initiated 10. That's gonna make it six meters. Right, eso So this time the range should be six meters and we have to find at the same, uh, initial speed, which is 9.90 right meters for a second squared. Now you gotta finding angles so would not find an angle. And then what is the, uh, acceleration due to gravity? We're using them 0.8. So this time we're finding the angle. At first we new the range We knew the angle in the new tits and a region due to gravity. And have you found of initial velocity to be 9.90 meters for a second Now we knew they way. No, the, uh, acceleration due to gravity, We know the range, and I would know the initial velocity. Now we have to find the angle, right? So mechanicals, you know, cross multiply. So you cross multiply What is six times 9.989 point eight. That is actually 58.8. So 58.8. And what is number one? Nice squares. 9.9 squared eyes approximately. Uh, it's approximately 9.9. Square is approximately 98. Right. So, uh, this is gonna be, like 98 approximately and Ensign to Alfa right now. Divide bill side by 98. So, in a viable signed by 98 this is 58.8. They were having signed to Alfa to be 58 point eight over 98 8 That is 0.6. Then what is to Alfa to Alfa is gonna be inverse side. I said to Alfa is gonna be ever sign of 0.6. So it is in gross. I know. 0.6. In a sign of 0.6, it's approximately Ah, 38 point 36.87 So in verse and appoints is is approximately 38. 36 Vega pardon. 36.87 So there it is, 6.87 degrees. And then to find out if I just the viable side by two. So off finally is gonna be, um uh, so is 38 point 36.87 degrees or is 36.87 degrees or because it's not only 36.87 degrees. That gives you, uh, sign off sign Indra sign of, um 0.6 does not give you 30 6.87 It also gives you, Uh ah. 1 43.12 right 1 43.12 degrees. So all that it means is that, uh, you find signs of 36.87 degrees, you're gonna get 0.6. And if it's a fine sign off 1 31 43.12 degrees. You didn't get zero points is that is what we're trying to say, right? So that is what it means. So injuries sign off. 0.6 is 36.87 and 1 43 point I want to write. So if it divide both side by two, then you get in out far to be 18.4. So 18.4 degrees. That's when you divide by to or when Divide here by two as well. Then what are you gonna get? You're gonna get seven and 1.6 degrees. So you're getting out far to be 18.4 or 71.6.