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

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SUMMARY

The discussion centers on calculating the instantaneous velocity of a silver dollar dropped from the World Trade Center, emphasizing the principles of motion under uniform acceleration. Participants highlight the need for a function that relates distance, velocity, acceleration, and time, which is commonly found in elementary physics textbooks. A critical point raised is the challenge of using non-metric units in these calculations, necessitating careful attention to unit conversions.

PREREQUISITES
  • Understanding of basic physics concepts such as velocity, acceleration, and distance.
  • Familiarity with the equations of motion under uniform acceleration.
  • Knowledge of unit conversion, particularly between metric and non-metric systems.
  • Ability to write and interpret mathematical functions.
NEXT STEPS
  • Research the equations of motion under uniform acceleration, specifically the formula for instantaneous velocity.
  • Learn about unit conversion techniques between metric and non-metric systems.
  • Explore physics textbooks that cover motion and kinematics for foundational knowledge.
  • Practice writing functions in programming languages to calculate velocity based on distance and time.
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Students of physics, educators teaching kinematics, and anyone interested in the practical applications of motion equations in real-world scenarios.

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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.
 

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