 आदी मज़चानकर अपनी यहाग़ा और मादर है नहीं बच्छानकर मेंकि अपनी आदीं अपनी। आब वायदे लिए जाड़ प्येऔ, नहीं श्पकते रथमेन... आपनी और प्येजा़ वोड़िया... दिर Josh पूस्ट टहासath पूस्ट थो Grow अग़ शकद हूँ ईभन An वो job अग़ भी सोच घरह term अग़ सईख नाज ईबना घर इश Jen वॆत ऍ signs idea fra ab पूस दो चाह ऒ़ this is the maximum height okay at the maximum height there exists only one velocity which is the horizontal component of the velocity okay sure at the initial point there exist two types of velocities responsible for the movement of the projectile one is called the vertical component of the velocity which is u sin theta and another one is called the horizontal component of the velocity called as u cos theta this is it what you require for today's quiz g i got it so could you repeat whatever you said because i was like i had some internet issues okay yeah who is it like speaking man sir shivam yeah shivam this was for all of those who are like who did not come to me in contact this week got it whatever we have covered about projectile in the classroom it is related with that shivam okay sir got it thank you sir no problem and along with that for everyone please remember that i have shared with your cheat sheet right use that cheat sheet okay there are formulae for h formulae for r there are formulae for 10 like time of flight okay clear clear clear clear are for ready everyone are for ready good 59 people in good good good good good good 60 people in good good good good good good good good good good good good good so yes are for ready are for ready are for ready are for ready what's the code my dear friend it is 3 3 1 2 9 okay all of you have the cheat sheet ready with you this hr is hr is hr. s hr is hr is hr is hr is hr. sir the one you treated last class only two square sin square theta by two g is h maximum right. r is two times of horizontal component of velocity multiplied with vertical component of velocity divided by g time is two times of use sin theta by g got it. got it? ये योई ख़ान ऑी में होग़ा था. आप वो दुयाख़ा होग़ा में ज़ूवान। च्योंदिख तेता हुग़ाग़ा इप योग दोग़ा ट्हदेईग ड़ूँग़ा उग़ाग़ा । और वो नदीख हैसा चच्गीत है जो गीव योग़ा वी देछा ऎ piggy go for the place 64 people in is starting it ौä projectile fired Spin of initial velocity su at some angle theta has a range कि श brincते शत्य matters धन्तानốc चीथfthe projets ऑद़ अ़ग स्बचाफीक दॉबता धन्तान� अश भी Millionen तसे लगनान लोग भी आद चylon तसे थोंौn विता Ferrini शीव यब यब ༀुौ но ।।।। ।० ।।  Marly journalists । ।有 ।।। ।।viously ब्य़ुछ। large आप़्सेत, दियान घेम priests, ist आमने% ृःउcommittee नोँ� SMS । ब्य़। यो cause आपनशक्वृस ?? छद पANSusta रेलाक्स, this was the question, I am solving it for everyone, if post explanation you have a doubt, please, so, the point of agenda, the point of conversation is about the r, r for the sake is stated as 2 u cos theta and u sin theta by g अर नो, only those who want to state are no should reply, I repeat only those who want to state are no should reply, good, no reply regarding an variable अर नो, now my dear friend, everything is constant, theta is same, so this is not going to change, when the initial velocity is doubled, the new factor will be 4 times, which is a daily top, g, i don't respond अर नो, that's because 2 u into 2, that will be 4 अर नो, exactly, exactly, g i don't respond, if you still have a doubt send me an x गुत क्तना, very good, relaxed, good आदित्या अनधा, very good, good दर थ Vij cush the, very good, very good, very good, I'll repeat अर थ! The point is that the agenda of conversation is about r, range, the range with its very well formula stated as 2 यसर नो, one time u cost theta and u sin theta by g तच्टानि अनत्टेदवात लयूँ दरने ख्लेगे तरी जाँवाग. कती आदिए आदिए, �いう वो आदिए दो गो तरी इगा वहाँ वह जा वहाँ आदिए वो तरी जाँवाग थे. तच्टानि आजिए ज़ावाग, वो जुक्तानि जावाग. its all good huh now good but very let's look at the leader board 26 people will be there and telling you this is going to be a good learning experience provided you surrender yourself toward just open your mind what comes out what you know. i have given you a cheat sheet it's kind of a reading comprehension apply that and आद गड दान्सर ख़िया ख़िया वी गो अद दे लीड़बोड आद प्लीस रिमेंभा मैं लिक्विस्ट दाद ज़ियोस दे चाट बोक्ष जुटीश्यस्ली नम्रता रागभ अदित्या शीराम गुट गुट गुट गुट गुट जोगनी बादों करे रुग लिए रागभ रागभ लम्प रद गड पिछ जी ठादिया गर नहीं भी पा Clearly । चर टोगनि तर लगा । आप वी अद नहीं. आप लिए मुझी आदी आप बाद़ वोग्ट. रागभ अद जो आदित प्यत रूव । indispensly doubled will be quadrupled will be relax read and response by the time i completely read it and reach down looking at the time 25, 28 people had already responded thats a good thing what you did is the same thing which was done for the previous question instead of writing the formula for R you have to state the formula for H same scenario instead of R we are now talking about the H dot , what is the formula of our capital H ? , capital H is equals to u squared sine square theta y to g , nothing is changed the only change is observed here , you became to you, squaring will make it 4 times which in English is called as fourth ripple योग अग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग योग यो� तहीड ख़ब और तू� light । वहाँ, सशीच तहीच वो आशिच बागत मैं Ashes said x, ok, Ashes, I will come back. और थे ठाशीच मैं? You can unmute and talk about it. वहाँ तूद बागत मैं? जू, yes, Ashes. वहाँ, और उसभी थूपतर्टूदूपतर्टूपतर्टूपतर॥ eyelashes, can you unmute. how you got ok. Chalo witchi let's take out the ratio. H old by h new, right or not was equal to-I'll just erase it out. so h old by h new as it is is equal to u square let it be रजन्ज़ के साण्च्श्खवर ञूडि & वूडि लिए ख़ूह ये। पर श्वाइ आफ़आद वाई वुए वूआअप वोट रजन्च्चवर घ� them आप आप और ञे रज і मैंगी तब ख़ूद रजन्चचशकते है नुहीत ख़िनक्रवाव घर ख़िनक्रवारव होगा आश producción, ख़िनक्रवार्व and any other friends of mine गोड, अचोच, ठीट वरेगर, वरے, ठीट वरेगर is the leader board and next question वरच़ा प्रजटील वरच़ा प्रजटील वरच़्ा प्रजटील ख़ील, वली रच़्ा प्रजटील So, now this is an 8th great question. Total energy is conserved, momentum is conserved, energy and momentum both are conserved, nothing is conserved. It is completely a waste of time, freely means no motor or the fueled thingy, right. थी जोगे bloom technically isו ईदी योंन्किल लिए थी हम दर पर धान्झनों कर चरे शानजें दे 나ये reasoning सकनसै को मरखरी लानजें कर है।।।।।।।।।।।।।।।।।।।। उसिनिरस कΕछ आesis॥।।।।।।।।।।।।।।।।। PVA औसे रहशึWeston याम also very good, शिज़न also very good. I'll repeat it. Okay. शो. Got it. Got it. Why? See guys, beautiful. शो. Leaderboard. It's hit with the same amount of energy and momentum. Beautiful, beautiful, beautiful. And if you remember, we were discussing the vertical drops. रागाव is our dear friend PewDiePie. We can ignore him as of now. रागाव is leading the scenario. रागाव is trying that I'm bringing two places in the leaderboard. So just kick me. रागाव. Thank you. Okay. Thank you. But yeah, I guess. रागाव. So that's not kick. So that will just get rid of the name. रागाव. Okay. So don't participate. रागाव. Thank you very much. रागाव. Thank you. Just don't participate. They will go back down. रागाव. Next question is on your screen, guys. Go. Just remember the scenarios. The range of a projectile for a given initial velocity is maximum when the angle of projection is 45. A good set of information. Then the range will be minimum if the angle of projection is now this is expecting a tsunami. रागाव. Thank you very much. रागाव. Thank you. रागाव. Thank you very much. रागाव. Thank you very much. रागाव. Thank you very much. रागाव. Thank you very much. रागाव. Thank you very much. रागाव. Thank you very much. रागाव. Thank you very much. रागाव. Thank you very much. रागाव. Thank you very much. रागाव. Thank you very much. रागाव. Thank you very much. राग. Thank you very much. two people got it absolutely right it's absolutely beautiful exactly why because when you look at this you know that they are talking about the range minimum range means a failed launch right exactly what happens for that the angle should be 90 degree clear clear clear clear clear because the angle is measured with respect to horizontal clear clear clear clear anyone having a doubt still send me an X yes sir me okay sir the range will be negative no because range is not a displacement range is a horizontal distance distance is not a distance velocity so it is given initial velocity initial speed then it would have been relax relax horizontal distance clear so that is why I marked 180 because it will be negative then no range is a horizontal distance if you remember I will just give you an example okay somewhere in the time back we discussed about a case that from a cannon multiple rounds are being fired in all the directions what is the maximum area the cannon can cover right no problem no problem no problem learning output yes the formula conceptual wise can you say that it is given initial velocity it should be initial speed then rate yes sir because velocity vector and we cannot lose the vector unless we good beautiful now you are stating it very beautifully you are saying that sir range is an outcome of a vector yes or no yes sir what are u cos theta and u sin theta over here what are u cos theta and u sin theta over here sir the horizontal distance and the vertical distance yeah horizontal and vertical components of the velocity clear clear clear clear clear no even if even if you consider velocity a vector this is a dot product here oh yeah also got it it has converted into a scalar r is a horizontal name of r is a horizontal distance got it sir u cos theta and u sin theta is a dot product sir but they are the components they are the components you received them if you remember if you remember i got it exactly no problem yeah excellent sir i got it right but like you did not got it ok it's ok 90 degrees i marked it ok good good good ok let's look at the leader board raghav ishika shrijan artha taking a good jump here we go to our next question the angle of projection at which now it will need a calculation relax calculate and respond it will need a calculation angle of projection at which the horizontal range and maximum height of the projectile r equal is clear so you have the expression for both you have the expression for r you have the expression for h you know what variations sin theta cos theta their ratio cos clear that is leading you to the answer i have just incidented some light in the path of the good good good good good good last 15 second 46 people have calculated and responded very very good shrijan no problem sir before even looking at how many people stated it correct or incorrect let's look here carefully ok what is the line saying horizontal range and maximum height r equal h and r are equal what is r and h r is 2 u cos theta into u sin theta by g what is h u square sin square theta by g got it u u u square 1 time sin g and g sin theta is equal to 2 into 2 4 cos theta sending it here tan theta is equal to 4 g i got it got it got it only those who want to send them x please yes then very good relax aditya very good shivam very good anish very good relax very good very good very good shiram is saying sir i actually did the same thing where you got where you lost your concentration no problem no problem again the same thing which is given that horizontal range and maximum height are equal ok we have the information about how the horizontal range looks like we have the information from how the maximum height looks like just put them equal normal mathematics ok same i will repeat and u is u square mathematically got cancelled clear 1 sin theta out of the 2 sin theta is available got cancelled gravitational acceleration and gravitation acceleration got cancelled what all remained 2 here which further got sent over here 2 into 2 is 4 cos theta was here which got sent over here cos theta by our knowledge we know sin theta by cos theta is tan theta got it still a x please good very good very good very good very good very good very good very good that's why i have given you the cheat sheet ok cheat sheet is very important let's oh oh oh 10 15 21 and 20 we got charlie only correct right yeah exactly good good good good let's look at the leaderboard good tanmi very good raghav sriram sunshine ok arthar ok heart strong was the fastest one to respond very good very good here we go to the next one at the top of the trajectory of a projectile the direction of its velocity and acceleration are now this is a beautiful which can lead to a good tsunami of responses but it's ok if you think about it to draw it and then respond right guys again think draw it where is the acceleration acting on a projectile there was a question sometime back 3 or 4 questions back right hmm so i'm sure i get it because i calculated it ok sriram very good like she has guessed it very good no problem very good last 20 seconds remaining and still we haven't seen that every one has responded everyone has voted very good very good very good 66 people on screen today good 31 15 13 7 good relax and let's see you know that a projectile as our initial conversation flies like this the only acceleration which is acting on the projectile is the acceleration due to gravity right at the maximum height there exist only one velocity which is u cos theta angle between the acceleration and the velocity is 90 degree if you have a doubt please send an X good Anish yes what happened very good sriram you confused me a bit no problem Anish you can unmute and talk trajectory is a English word path followed very good Prateek i'll repeat Anish no problem so when a projectile moves its movement looks like this yes or no at every point there is only one and only one force acting the gravitational force clear clear this gravitational force is acting downward the object is moving like this at the maximum height there is only one velocity with the object which is at the maximum height there is only one velocity with the object which is which is the horizontal the angle between horizontal velocity and acceleration due to gravity is 90 degree got it very good relax here we look at the leader board so sriram is leading the scene very good and here we go not leading the scene sriram was the fastest one raga was leading the scene here we go to the next question did i miss the question yes i did relax i did miss to upload people are already answering i don't see question can you show the question in photos or something no i'll re-upload it what is the problem so all you could tell the correct answer no so the people who have answered it have to answer it again have this in the question i am just saying a bunch of people randomly answered for that what i will do is i will change the options so we are running out of time relax we can let the question get concluded have you concluded no sir so should we not answer so what should we answer relax time is up for the question no sir time is up time is up sir time is not up yet time is up no not yet time is up but it's just not going stuck at the screen sir could you are you sharing screen no not yet relax sir it's stuck yeah relax relax sir my internet went for a moment was the question given no ready for the question get ready for the question need to start the time so for me the order of the options is like yes i have changed it so that you should not be able to guess if you by mistake i have done that no sir like it's saying the first one is be in the second one i have done it i am screen sharing now sir the numbers are weird like sir the numbers are weird like i have i told you i am changing the position of the options the question is same i have just changed the position of the options so those who kind of remember that oh for the last question the correct option was charlie delta or all that we will have to in some time and get the answer that's it sir i got the answer but then i wrote the correct i wrote the wrong option good i mean no no i am saying like got it you got the answer as a for example but instead of when marking a you actually marked b right yeah good that's a good test of like if you know i wanted to tell you like in 10th grade when i started doing this menti i never used to give a b c b as write sequence i always used to jumble them so that along with your knowledge it is also checking your attentiveness and 29 people got it right answering data this is the question let's look at it an object is thrown along a direction inclined at an angle 45 degree with the horizontal direction okay the horizontal range of the particle is equal to height height height height so we have to actually calculate how much is n multiplied with i yes sir let's write it down let's write it down clear the best way of writing it down is to calculate the ratio so at 45 degree the range will be equal to 2 u sine 45 cosine 45 will be again okay 1 by divided by clear which is u square by g very now comes the maximum height tell me how the maximum height will look like you will be like u square right sine square theta sine 45 is 1 by root 2 square of it is 2 by 2 g yes or no yes or no clear now r by h will be equal to r by h will be equal to u square u square g g 1 by 1 by 4 yes or no yes or no yes if you have if you have a doubt send x very good aditya very good very good varath very good if i will eliminate everything and ask you when an object is thrown at 45 degree what are the ranges and horizon like height can you calculate that yes you can you will say okay sir range is 2 times u cos 45 degree into u sin 45 degree by g no doubt good if i will ask you what is maximum height you will be like h is equal to u square sin square 45 by 2 g clear which is coming out as u square by 4 g clear which is coming out as u square by g got it so now you will write okay range upon height is equal to u square g g 1 by 1 by 4 so range is 4 times the height okay got number very good okay got it varath very good very good no problem sir i didn't get the last part where you said 1 by 1 by 4 good so see from here post calculation what is written in front of h 1 by 4 yes or no yes sir what is written in front of r1 denominator of the denominator is the numerator right okay good guys good good good very good tanya that's really helpful for health here we go to the leader board tanya will be like i will kill this man that's Tom very good and you are the fastest one to respond raga was still leading the scenarios here we go to the next question now your favourites just i was aware that at last you guys will be looking for some refreshment and for that say there are questions in front of you and this will need a tsunami of responses at last some hope or she is like oh good good good very good very good sir adityanand no problem bache this was too simple okay thank you let it be just a single simple right why to make it too simple at the very last second i lost all respect in your heart if at all there was in like just was saying let it be a single single like the very last moment everything was just shattered there are 9 more questions bache i will just request you siddharth can you like skip the dinner today 47 sir are there 10 questions 10 questions another 9 okay sir is kidding guys too the value of the unit vector so for any given vector the unit vector is given by the vector divided by its own something called as direction everyone y or n hey bacha please no wise ya this is not direction this is magnitude this is magnitude sir what is the vector 5 i minus 12 j divided by its own magnitude how you calculate the magnitude magnitude of the vector will be equal to square root of plus 144 yes sir this is equal to square root of 169 what is the square root of 169 i have to go to my 8th grade back someone please help me out okay sir 13 okay and that's the beautiful answer got it good good good good here we go so i think there are only 10 questions it said only 10 questions and t is like ya there are 10 sir heart storm is there and someone named as g a n is there is it gyanesh sir i think it's gandhar gandhar okay here we go to the next question is that possible if it is then option A yes result of tazin result in tazin so why are you giving clues how can i is result in 2 стан yes when the two vectors are same in magnitude and in direction very good no it cannot happen yes when the two vectors are same in magnitude but opposite in direction okay here i stated the word direction there the word is sense hence wins direction yes when the two vectors are same in magnitude making an angle of 2 pi by 3 2 pi by 3 is a beautiful thing you know sir you are kind of giving away stuff no i am not at all cant you see my cruelty in the first 7 questions good so last 10 seconds over there 60 people have responded 8 6 5 4 3 2 1 0 11 5 43 4 now i have to increase the standard of is the prize raghav heart storm shrijan namrata and here is shapa sir like you tell me the last 4 questions i answered right and i am in the same position it happens when the lives is easy the competition gets you will not be paid off equally for your efforts understand that life should not be easy you will stuck at the same place so yes here two vectors will resolve out to be 0 provided they are same in magnitude and opposite in direction here we go to the air the last question of the scenario but after this question there will not be any change in the leader board okay r moves for half of its time at 80 km per hour and for the rest half of time at 40 km per hour total distance covered is 60 km what is the average speed of the car 60 km per hour dum dum i want to announce a random prize who will come as fifth will get a chocolate from me who will come who will come fifth will get a chocolate the prize is you should come fifth sir there is a first five so there is nothing forgetting all the questions like well you have to like see you will have to manage your position no sir the first five will then work at home accuracy hmm i was fifth last last question okay just reading the name of my beautiful friend Srijan i announced this prize like there is enough okay okay okay google the word called as samant vad that's your assignment for today what is the meaning of the word samant vad exactly samant vad 35 35 12 9 1 yes 35 people got it absolutely it's feudism not feudism so a car moves for half of its time at 80 km per hour right as soon as a question comes like this there clicks three things in your mind blinking of three thoughts one this is a case of average velocity which can be calculated actually by the direct application of the formula total displacement covered upon total time ticket or there are two exclusive cases as well case of equal distances for which we have two v1 v2 upon v1 plus v2 and case two case of equal times which is here which is v1 plus v2 whole by two answer will be 80 plus 40 whole by two i know that 80 plus 40 happens to be 120 i know counting dividing by two is also good got feed it to me right or not and that is 60 km per hour a beautiful answer for the last question at 8.59 here is the leaderboard at least the timing is a mic drop event for me i never had thought this will happen at 9 raghav is the winner clap for this beautiful chap sir give shri ram the chocolate now shri ram second part second part shri ram shri ram my dear friends shri jen is not even actually i want to change the announcement can i make it third not fair sir once you saw in the world yes sir because he was good good guy actually i think it is a good idea to give the chocolate to everyone very good very good i am waiting for that kind of scenario guys i can meet and give chocolate to everyone thank you for your time guys thank you very much have a good night i hope you had a learning experience just grade it between learning nothing else know the gardening today only the learning outcome from 1 to 5 that will be really helpful you can be very crude and blunt while responding that no need to be biased about the entertainment you have very good aditya good sorry sir i thought it is 1 the highest 1 to 5 good good good thank you sir thanks a lot guys so it was entertaining thank you sir bye thank you guys bye bye thank you sir bye sir bye sir bye thank you sir thank you sir amazing quiz thank you thank you