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Followup activities for Module 1A

Followup activities for GVSU MTH 201 (Calculus) Module 1A -- these are actually deployed and submitted on ClassKick

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MTH 201: Calculus
Module 1A: Followup activities
Prof. Talbert
GVSU
July 22, 2020
Reminders:
Post-class activities are to be worked out in ClassKick.
These are not optional! They contain key concepts that you
will be tested on later.
There is nothing to turn in — your work is saved
automatically on ClassKick.
They are graded check/x on the basis of completeness
and effort, like Daily Prep activities. A check counts as 1
engagement credit.
You can work freely with others on these, but please for your
own benefit, don’t just copy work.
If you need help or want Prof. Talbert to check your work, use
the ”raise hand” feature on ClassKick.
1: Average velocity, alternate take
The position function for a falling ball is s(t) = 64 − 16(t − 1)2,
with t in seconds and s in feet. Calculate an expression for the
average velocity of the ball on the interval [2, 2 + h]. Do algebra to
completely simplify the resulting expression. Show your work below
(or in a picture you upload and embed here).
2: Using the average velocity expression
Take the simplified expression you came up with and use it to find
the average velocity of the ball on the interval [2, 2.5]. Show your
work. Spoiler: The answer is −40 feet per second. If you come up
with something else, debug your work on the previous slide as well
as on this one.
3: Getting to instantaneous velocity
Use the expression from part 1 of this activity to find the
instantaneous velocity of the ball at t = 2. Explain your reasoning.
Hint: Think about what you should do with the variable h.
Reflecting
Overall, how comfortable do you feel with the concepts of this
lesson? What questions, comments, or concerns do you have about
Module 1A so far?

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Followup activities for Module 1A

  • 1. MTH 201: Calculus Module 1A: Followup activities Prof. Talbert GVSU July 22, 2020
  • 2. Reminders: Post-class activities are to be worked out in ClassKick. These are not optional! They contain key concepts that you will be tested on later. There is nothing to turn in — your work is saved automatically on ClassKick. They are graded check/x on the basis of completeness and effort, like Daily Prep activities. A check counts as 1 engagement credit. You can work freely with others on these, but please for your own benefit, don’t just copy work. If you need help or want Prof. Talbert to check your work, use the ”raise hand” feature on ClassKick.
  • 3. 1: Average velocity, alternate take The position function for a falling ball is s(t) = 64 − 16(t − 1)2, with t in seconds and s in feet. Calculate an expression for the average velocity of the ball on the interval [2, 2 + h]. Do algebra to completely simplify the resulting expression. Show your work below (or in a picture you upload and embed here).
  • 4. 2: Using the average velocity expression Take the simplified expression you came up with and use it to find the average velocity of the ball on the interval [2, 2.5]. Show your work. Spoiler: The answer is −40 feet per second. If you come up with something else, debug your work on the previous slide as well as on this one.
  • 5. 3: Getting to instantaneous velocity Use the expression from part 1 of this activity to find the instantaneous velocity of the ball at t = 2. Explain your reasoning. Hint: Think about what you should do with the variable h.
  • 6. Reflecting Overall, how comfortable do you feel with the concepts of this lesson? What questions, comments, or concerns do you have about Module 1A so far?