# 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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### 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?
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