Question 1203202
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As I read this assignment, I am perplexed.


I am perplexed, because I do not understand its meaning.


I do not understand its meaning, because I do not understand, which instantaneous velocity is under the question.


Behind these words "instantaneous velocity", two different notions/conceptions are nested.


One conception is the instantaneous velocity of the baseball of the problem 1203157-(#1),
which is hit at initial velocity V and angle {{{theta}}} = {{{pi/6}}} to the horizon.


Another conception is the instantaneous "rate of change" of the function {{{T[f]}}} of the problem 1203157-(#1);
but in this case the right name for this conception is the "instantaneous rate of change" - - - not the "instantaneous velocity".



So, in my view, the assignment is written carelessly.

I would even say, defiantly and provocatively carelessly.

In such situation, I prefer do not touch the problem.



It is just enough to explain why the problem is defective.



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<U>I got this message (as a comment) from you</U>: Hello ikleyn, There is a continuation to Question 1203157 
which you were so helpful in solving. The second part of the question asks : 
Find the instantaneous velocity at thita = pi/6 for problem # 1 ( which you solved previously - Question 1203157) 
Should I post this again on algebra.com



<U>My response</U>: every new problem must be submitted to www.algebra.com.


It is a UNIQUE way to submit a problem.


Submitting to personal page is PROHIBITED, because in this case I DO NOT KNOW to whom to answer.



Again: every new problem must be submitted to www.algebra.com.

It is a UNIQUE way to submit a problem.

Submitting to personal page is PROHIBITED, because in this case I DO NOT KNOW to whom to answer.



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I just got one more your comment:


<U>Comment from student</U>: Hello , it is word for word from my assignment. 
I can send you a picture of both questions together if you prefer.



<U>My response</U>: Please, I want you understand me in a right way.


I do not state that it is you are a person who messed up the problem.


It is a person who created it - the Math composer.


For me, it does not matter who is guilty personally.


For me, the only fact which matters is that the problem is defective.



Regarding you PERSONALLY, I only can say, based on your last comment, 
that you blindly copy-paste the text, without thinking on its meaning, unfortunately.


I see such situation at this forum several times per day, every day.



As a consolation, you, probably, have a professor or a teacher 
or a supervisor to ask for and to clarify the question.