Calculus Horizontal Motion Position Velocity Acceleration PVA Speed Dating
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In this activity, you will find 12 review questions that students can use to practice problems about position, velocity, and acceleration. These problems include problems that can be solved during first semester of Calculus AB. No knowledge of integrals is required. These problems involve HORIZONTAL MOTION only.
In order to be successful with these problems, students should be able find the first and second derivative of a position function, determine where a particle is at rest, determine when a particle is moving left or right, determine when an object is speeding up or slowing down, be able to look at a graph and find the slope of a line to determine information about a particle, know the definition of displacement, know the difference between velocity and speed, and be able to find the total distance a particle travels.
In a speed dating exercise, divide your class into groups of 2. Line pairs of desks up around the room. Number each pair of desks from 1 – 12. Give each pair of students one of the given problems. After a specific amount of time, have one of the students move one way and one of the students move the other way. [For example, the students who are seated at the pair of desks labeled 3…one student will move down to problem two and one student will move up to problem 4.] This gives each student a new partner and a new problem.
Would you like to read my blog posts about my experiences speed dating?
I have included the answers on slides at the end of the set of problems so you could project the answers when you are finished. In addition, I have provided an answer sheet for students to use.
Absent student? No problem… I have included the same 12 problems on two sheets of paper that you can send home with your absent student.