The height s at time t of a silver dollar dropped from the World Trade

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The discussion focuses on deriving a function for the instantaneous velocity of a silver dollar dropped from the World Trade Center, emphasizing the principles of motion under uniform acceleration. Participants note that this topic is typically covered in elementary physics textbooks and can be easily researched online. A key point raised is the challenge of using nonmetric units, which requires careful attention in calculations. The conversation highlights the relationship between distance, velocity, acceleration, and time in this context. Understanding these concepts is essential for accurately determining the object's motion.
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Homework Statement
The height s at time t of a silver dollar dropped from the World Trade center is given by
s=−16t2+1350
where s is measured in feet and t is measured in seconds.
a) Find the average velocity on the interval [1, 2].
b) Find the instantaneous velocity when t=1 and t=2.
Relevant Equations
The height s at time t of a silver dollar dropped from the World Trade center is given by
s=−16t2+1350
where s is measured in feet and t is measured in seconds.
I don't have any solution
 
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Can you write down a function to give the instantaneous velocity?
 
This is standard stuff found elementary textbooks, or that you can find by googling "Motion under uniform acceleration", that tie together distance travelled, velocity, acceleration and time.

If there is anything special about this, this is the unusual nonmetric units that you will have to be careful about.
 

Thread 'Does this series converge uniformly?'

First, I tried to show that ##f_n## converges uniformly on ##[0,2\pi]##, which is true since ##f_n \rightarrow 0## for ##n \rightarrow \infty## and ##\sigma_n=\mathrm{sup}\left| \frac{\sin\left(\frac{n^2}{n+\frac 15}x\right)}{n^{x^2-3x+3}} \right| \leq \frac{1}{|n^{x^2-3x+3}|} \leq \frac{1}{n^{\frac 34}}\rightarrow 0##. I can't use neither Leibnitz's test nor Abel's test. For Dirichlet's test I would need to show, that ##\sin\left(\frac{n^2}{n+\frac 15}x \right)## has partialy bounded sums...
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