Uma partícula, em movimento circular uniformemente variado, descreve uma trajetória circular e mantém-se ligada ao ponto central 0, por um fio ideal, conforme figura a seguir. 



Após realizar 1/4 de volta, sua velocidade é o dobro da velocidade inicial. Já o tempo para completar 1 volta foi de 3 vezes o tempo necessário para atingir 1/4 de volta. Durante esse movimento, a tração no fio sobre a partícula foi a única força a atuar na direção radial, sendo no início seu valor T₀ e após 1 volta seu valor T_f . Nessas condições, a razão, T_f /T₀ , entre as trações final e inicial, vale  

TEXT II

AI won’t take your job if you know about IA
Intelligence augmentation shows that human + AI is an ideal partnership – and the future of white-collar work

The less exciting but more likely reality is that the changes AI brings to the workplace will entail upskilling — when workers learn new skills — not reskilling or complete replacement. And upskilling is not about surrendering to AI but instead about mastering intelligence augmentation, or IA, which is what happens when humans and AI work together to accomplish more as a team than either could flying solo. That collaboration is based on the distinction between two concepts: reckoning and judgment. Reckoning vs. Judgment A critical difference between AI and humans is our primary mode of operation. AI operates through what is often referred to as “reckoning,” such as calculative prediction. By that, we mean AI’s true capabilities are grounded in facts and historical knowledge - data that can be calculated, memorized, and repeated. It makes predictions based on what it knows. By contrast, humans operate through judgment or practical wisdom. We understand things AI can’t possibly know. That’s because we humans have lived experiences that continually inform how we see the world. It’s the intangible factors, like ethical considerations and empathetic responses, that make humans better equipped than AI to make complex decisions about human affairs. This practical wisdom is one reason humans must keep creating new things for IA to advance. Imagine what would happen if humans stopped writing original content. The current model of AI could never pass a certain point because it would never encounter new, innovative ideas. Eventually, AI would run out of new ideas to share, and our collective knowledge would stagnate. AI is like moonlight; its ideas come from the reflected sunlight of human insights. Now, it’s essential to recognize that this contrast between AI and humans is nothing to fear. Instead, it shows us why “human + AI” is an ideal work partnership. AI can perform massive calculations in the blink of an eye at a pace far superior to even the most intelligent human on the planet. When paired with a human capable of making quick decisions based on lived experience, judgment, and practical wisdom, it’s an immensely more powerful tool than it is on its own. Adapted from MCCOOL, Chris Dede and David. AI Won’t Take Your Job if You Know About IA. Harvard Graduate School of Education. Available on: https://www.gse.harvard.edu/ideas/news/24/02/ai-wont-take-your-job-ifyou-know-about-ai. Accessed on March 10 th, 2025. 

TEXT III








TEXT IV
Algorithmic Romance: The Bittersweet ‘Love Affair’ Between Humanity and AI 



Adapted from HUTCHINS, Bob. Algorithmic Romance: The Bittersweet 'Love Affair' Between Humanity and AI. The human voice bridgin silicon and soul. Available on: https://bobhutchins.substack.com/p/algorithmicromance-the-bittersweet?utm_campaign=post&utm_medium=web. Accessed on March 10^th, 202

Directions: Read texts I to IV and answer question.

Decide if the sentences are true (T) or false (F).

I. All four of them are sarcastic and critical. ( )

II. All of them acclaimed the use of AI at work. ( )

III. The texts explore AI´s role in replacing human relationships. ( )

IV. Texts III and IV depict consequences of Human-AI collaboration. ( )

V. Texts II and IV have overlapping ideas when it comes to responsible use of AI. ( )

Now, mark the right alternative.

The “love story” metaphor ( l. 18) is primarily used to illustrate 

The call for a “collective effort” ( l. 5) implies that the challenges posed by AI require 

The author’s assertion that AI is not a “panacea” serves to emphasize that 

Directions: Read texts I, II and III and answer question

TEXT I

Alexa, What Is There to Know about Love? Brian Bilston Alexa, what is there to know about love? What is there to know about love? A glove is a garment that covers the hand for protection from the cold or dirt and – Alexa, how does a human heart work? How does a human heart work? Blood is first received in the right atrium via two veins, the vena cava superior and inferior – Alexa, where do we go to when we die? Where do we go to when we die? Activating Google Maps. Completed activation. Would you like to start from your current location? Alexa, what does it mean to be alone? What does it mean to be alone? It is the silence left by words unsaid, the cold expanse of half a bed. It is the endless stretching of the hours, the needless tending of plastic flowers. It is an echo unanswered in a cave, the fateful ping of the microwave. It is the fraying of a worn shirt cuff, and the howl – Stop, Alexa. That’s enough.
Available on: https://brianbilston.com/2018/07/23/alexa-what-is-there-toknow-about-love/. Accessed on February 24th, 2025

TEXT II

AI won’t take your job if you know about IA Intelligence augmentation shows that human + AI is an ideal partnership – and the future of white-collar work The less exciting but more likely reality is that the changes AI brings to the workplace will entail upskilling — when workers learn new skills — not reskilling or complete replacement. And upskilling is not about surrendering to AI but instead about mastering intelligence augmentation, or IA, which is what happens when humans and AI work together to accomplish more as a team than either could flying solo. That collaboration is based on the distinction between two concepts: reckoning and judgment. Reckoning vs. Judgment A critical difference between AI and humans is our primary mode of operation. AI operates through what is often referred to as “reckoning,” such as calculative prediction. By that, we mean AI’s true capabilities are grounded in facts and historical knowledge - data that can be calculated, memorized, and repeated. It makes predictions based on what it knows. By contrast, humans operate through judgment or practical wisdom. We understand things AI can’t possibly know. That’s because we humans have lived experiences that continually inform how we see the world. It’s the intangible factors, like ethical considerations and empathetic responses, that make humans better equipped than AI to make complex decisions about human affairs. This practical wisdom is one reason humans must keep creating new things for IA to advance. Imagine what would happen if humans stopped writing original content. The current model of AI could never pass a certain point because it would never encounter new, innovative ideas. Eventually, AI would run out of new ideas to share, and our collective knowledge would stagnate. AI is like moonlight; its ideas come from the reflected sunlight of human insights. Now, it’s essential to recognize that this contrast between AI and humans is nothing to fear. Instead, it shows us why “human + AI” is an ideal work partnership. AI can perform massive calculations in the blink of an eye at a pace far superior to even the most intelligent human on the planet. When paired with a human capable of making quick decisions based on lived experience, judgment, and practical wisdom, it’s an immensely more powerful tool than it is on its own. Adapted from MCCOOL, Chris Dede and David. AI Won’t Take Your Job if You Know About IA. Harvard Graduate School of Education. Available on: https://www.gse.harvard.edu/ideas/news/24/02/ai-wont-take-your-job-ifyou-know-about-ai. Accessed on March 10 th, 2025.

TEXT III


It is possible to say that 

Regarding the implied future of creativity portrayed in the comics, it is possible to conclude that 

The phrase “No more pesky original thought required!” (box 7) is used to

The verb tense in “I have been dealing with a lot of stressful stuff in my life.” (box 1) 

Mark the option that is closest in meaning to the passage below: “Eventually, AI would run out of new ideas to share” (l. 32). 

According to the text, the key gap between machine process of information and human insight is that the former  

Without changing the meaning, the term “grounded” (l. 17) can be replaced by 

The author’s distinction between “upskilling” and “reskilling” serves to 

At the end of the text, the author interrupts Alexa because  

Concerning the sentence “what is there to know about love?”, it’s correct to say that the author is 

Mark the sentence that contains a passive construction like in “Blood is first received in the right atrium” (l. 8): 

Regarding Alexa’s answers, it is possible to assume that she

Considere as curvas de equações 

λ₁ : 4x² − 9y² + 24x + 72y − 72 = 0
e
λ₂ : 4x² + y² + 24x + 2y + 21 = 0 

cujos centros são, respectivamente, C₁ e C₂

A equação da reta mediatriz do segmento  é 

Observe a figura abaixo. 



Na figura fora de escala tem-se duas circunferências secantes nos pontos M e N, as retas r e s tangentes às circunferências menor e maior, respectivamente, com r ∩ s = M e os pontos K, N e L alinhados. 

Os segmentos  medem, em cm, respectivamente, x+5, x e 2x 

Analise as afirmativas a seguir, para as medidas dos segmentos em cm. 



É correto afirmar que 

Sobre as funções reais f e g definidas por f(x) = 2|−x + 2| − |x − 1| − 4 e g(x) = −x² + 6x − 7 é correto afirmar que