Lesson 4.2 Kinematics Concepts 1. When working with bodies in motion, engineers must be able to differentiate and calculate distance, displacement, speed, velocity, and acceleration. 2. When air resistance is not taken into account, released objects will experience acceleration due to gravity, also known as freefall. 3. Projectile motion can be predicted and controlled using kinematics equations. 4. When a projectile is launched, velocity in the x direction remains constant; whereas, with time, the velocity in the Y direction in magnitude and direction changes due to gravity.

Performance Objectives It is expected that students will:  Calculate distance, displacement, speed, velocity, and acceleration from data.  Design, build, and test a vehicle that stores and releases potential energy for propulsion.  Calculate acceleration due to gravity given data from a free fall device.  Calculate the X and Y components of a projectile motion.  Determine the needed angle to launch a projectile a specific range given the projectile’s initial velocity.

Essential Questions 1. What are the relationships between distance, displacement, speed, velocity, and acceleration? 2. Why is it important to understand and be able to control the motion of a projectile?

Key Terms Free Fall The condition of unrestrained motion in a gravitational field. Distance The total length of path over which the particle travels. Displacement A vector quantity giving the straight-line distance and direction from an initial position to a final position. Velocity A vector quantity that includes the speed and direction of an object.

Project Lead The Way, Inc. Copyright 2010 POE – Lesson 4.2 Kinematics – Page 1 Speed The magnitude of the total distance traveled divided by the time elapsed. Acceleration The rate of change of velocity with respect to time.

Instructional Resources Presentations Projectile Motion Word Documents Project 4.2.1 Self-Propelled Vehicle Design Activity 4.2.2 Acceleration Due to Gravity Activity 4.2.3 Projectile Motion Lesson 4.2 Key Terms Crossword

Firing Range Mountain Pass Obstacle Course Parachute Drop Activity 4.2.2b Acceleration.xls Acceleration.rpp

Reference Sources Hibbeler, R.C. (2007). Engineering mechanics: Statics and dynamics. Upper Saddle River, NJ: Pearson Prentice Hall. International Technology Education Association. (2000). Standards for technological literacy. Reston, VA: ITEA. Kirkpatrick, L.D. (2007). Physics: A world view. United States: Thomson Brooks / Cole. Merriam-Webster. (2007). Merriam-Webster online. Retrieved December 15, 2007, from http://www.webster.com Microsoft, Inc. (2008). Clip art. Retrieved January 10, 2008, from http://office.microsoft.com/en-us/clipart/default.aspx National Council of Teachers of English (NCTE) and International Reading Association (IRA) (1996). Standards for the English language arts. Newark, DE: IRA; Urbana, IL: NCTE. National Council of Teachers of Mathematics (NCTM). (2000). Principles and standards for school mathematics. Reston, VA: Author. National Research Council (NRC). (1996). National science education standards. Washington, D. C.: National Academy Press. Project Lead The Way, Inc. Copyright 2010 POE – Lesson 4.2 Kinematics – Page 2 Serway, R.A., Vuille, C, Faughn, J.S. (2009). College physics (8th ed.). United States: Thomson Brooks / Cole. Soutas-Little, R.W., Inman, D.J., & Balint, D.S. (2008). Engineering mechanics: Dynamics. United States: Thomson Learning.

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