A spring-loaded dart gun is used to shoot a dart straight up into the air, and the dart reaches a maximum height of 24 meters above its point of release. The same dart is shot up a second time from the same gun, but this time the spring is compressed only half as far (compared to the first shot). How far up does the dart go this time? (Neglect friction and assume the spring is ideal and massless.)

According to the Watching Assignments, Utilitarians believe that there are many things in life that have value in their own right, and that happiness is merely one of these.

Immanuel Kant believed that we should rely upon society, government, and religious leaders to guide us to what our moral decisions should be.

Name the specific toe bone.

Which statement concerning the characteristics of language in negotiation is not true?

When a negotiator offers this type of explanation they are suggesting that while their current position may appear negative, it derives from positive motives, such as an honest mistake.

Some nonverbal acts let the other know that you are listening and prepare the other party to receive your message. What is the term used to describe these actions?

When conflict intensifies, risking progress, conversation about this specific factor may interrupt a conflict spiral and restore a constructive tone or approach.

What is our fundamental ethical duty according to Kant?How can this duty be understood in terms of treating people as ends and means?*** Remember that copying/pasting from any course materials (other than your own words in the Prep Guide), the internet, or using generative AI like ChatGPT to help “write” or “proofread” or “improve” your answer violates my Academic Integrity policy. Note that generative AI is now incorporated into many popular writing and translating platforms (e.g. Grammarly, Quillbot, Google Translate, DeepL, etc.), so if you’re using those platforms, you’re using generative AI in violation of my policy. USE YOUR OWN WORDS or, if you are unable to do that, properly quote/informally cite them as I discuss in the Academic Integrity section of the Syllabus ***  

Perform the indicated operation.v = -6i + 5j – 4k and w = 3i + 5j + 6kFind | v | – | w | .   Type your answer in the given answer box.  You may need to use the equation editor found in the editing menu.  If the equation editor is not showing, click on the three vertical dots to expand the menu.