E-Learning and Teacher Education MOTION: VELOCITY AND ACCELERATION This unit is about motion, velocity, acceleration and deceleration, as influenced by forces of friction and gravitation. It also deals with the importance of controlling motion and therefore measurement of quantities related to motion. There are various devices that are used in the measurements, but one of the unique one used in schools is called a ticker-timer. Activities 1. The meaning of motion and measurable aspects of motion. Distance, displacement, speed, velocity and acceleration. o Give the learners a task to watch a video clipping of a short distance and a long distance race, the sprint of a Cheater. They listen to the commentary. o Learners are guided in discussion to define: Distance, Displacement, Speed, velocity and Acceleration. Learners are guided in outlining methods of measuring displacement, velocity and acceleration (including rulers, feet, tapes, arm length, strides, heart beats, clocks, hour glasses, etc). 2. Explore moving objects The learners give many examples of objects in motion. Describe their motion: whether accelerated, decelerated or constant velocity. Outlining causes and possible consequences of their motion. o With constant velocity (e.g. an aircraft in the sky as observed from the ground….) o With an acceleration (e.g. a fruit falling from a tree, a vehicle at take off….) o With a deceleration (e.g. a vehicle coming to stop) o Motion of heavenly bodies (the planets, the moon and meteorites. 1 | School of Education, Makerere and The Open University, UK E-Learning and Teacher Education Demonstrate the motion of a trolley with uniform velocity, with acceleration and with deceleration along a runway. Discuss how vehicles (e.g. motorcycles, cars, bicycles, trains etc) move from the beginning to the end of a journey. Write an essay on ‘the world of moving objects’. 3. Identifying accelerated and uniform motion. Apparatus To set up this activity, the following equipment is needed: Trolleys, runways, ticker-timers, ticker tapes, and rulers. Procedures Set up the trolley to move on a horizontal runaway as shown in the figure below (under the guidance of your teacher). A ticker tape passing through the ticker timer is attached to the trolley. Observe and describe how the trolley moves along the runaway. Suggest how the trolley can be made to move down the runway at a constant speed. Ask your teacher to help you produce various tapes for constant velocity and accelerated motion. Examine the various tapes obtained 2 | School of Education, Makerere and The Open University, UK E-Learning and Teacher Education Describe the various tapes that show uniform velocity and those showing accelerated motion. Tape (take initial part of Describe in each the tape to be on the left) case how spacing Describe the type of motion represented between dots varies A B C D E 4. Determining velocity from the ticker tape Learners are guided to answer the following questions: If the frequency of the ticker timer is f, what is the time interval between two successive dots? If frequency of the ticker timer is 50Hz, what is the time interval for the following cases? o From the 1st to the 2nd dot; o From the 1st to the 5th dot; 3 | School of Education, Makerere and The Open University, UK E-Learning and Teacher Education o From the 1st to the 100th dot; The following examples show various tapes each of length 8cm obtained using a ticker timer of frequency 50Hz. In each case find the time interval of the tape and the velocity in ms -1. Tape Time interval Velocity A B C 5. Determining acceleration from the ticker tape Set up the experiment and produce a number of ticker tapes using a trolley running on an inclined runway. A Time for initial interval x or final interval y, t/s Initial velocity, u/ms-1 The distance x = 18cm Final velocity, v/ms-1 The distance y = 30cm Time to change from average velocity u to average velocity v, T/s Acceleration, a 4 | School of Education, Makerere and The Open University, UK E-Learning and Teacher Education B Time, t Initial velocity, u The distance x = 14cm Final velocity, v The distance y = 24cm Time, T Acceleration, a Sample ticker tape Discuss how to choose the interval for the initial and final velocities on the accelerated tape. Discuss why the initial dots could be ignored (cut off). Calculate initial and final velocities on the accelerated tapes. Discuss how to obtain the time taken to change from initial to final velocity. Calculate acceleration on the accelerated tapes. Calculate acceleration for the tapes below, in the steps given. Take frequency f = 50Hz 6. Determining acceleration due to gravity using the ticker timer Discuss the set up of the experiment. 5 | School of Education, Makerere and The Open University, UK E-Learning and Teacher Education Set up the experiment as shown in the diagram and produce a number of ticker tapes. Use the method of finding acceleration (from above) to determine the acceleration due to gravity. Time for initial interval x or final interval y, t/s Initial velocity, u Final velocity, v Time to change from average velocity u to average velocity v, T/s Acceleration, a 6 | School of Education, Makerere and The Open University, UK E-Learning and Teacher Education Job-related skills In forming the groups and carrying out the activities ensure that the following are deliberately achieved. Personal attributes: - motivation and imagination. Communication: - Knowing and applying general and specialized vocabulary in physics. Team work: - ability to cooperate and share tasks with colleagues. Problem solving: - goal focused, seek out relevant information, identify constraints, evaluate alternatives and make decisions/ choices. Implementation and application: - the ability to carry out complex operations and follow instructions to achieve accurate results. Application of numbers: - ability to work with and present numerical data, using appropriate intermediate calculations. Information skills: - ability to present evidence to meet the needs of different audiences using graphs, reports and images. Innovation: ability to find a way around a given problem or task, or to improve on the performance of a device. Review your understanding ITEM 1 7 | School of Education, Makerere and The Open University, UK E-Learning and Teacher Education Tape Describe in each case Describe the type of how spacing between motion represented dots varies A B C D E ITEM 2 The following examples show various tapes each of length 8cm got using a ticker timer of frequency 50Hz. In each case find the time interval and the time interval of the tape and the velocity in ms-1. Tape Time interval Velocity A B C Physics club activities The following may be done as physics club activities. 1. Situations where it is beneficial to minimise hindrance to motion. After viewing video clips on racing cars; swimmers; athletics; bicycle races, guide the learners to: 8 | School of Education, Makerere and The Open University, UK E-Learning and Teacher Education o Give examples where it is necessary to achieve very high speed in motion; maximum speed in the shortest time; optimum speed with least energy wasted. o Describe features of the bicycle that make it convenient in use. o Describe best outfit for a swimmer and a runner who needs maximum speed possible. o Describe the best shape of a racing car. 2. Situations of deliberate control of motion: Hold discussions on : o Function of accelerators on vehicles. o Function of brakes on vehicles. o Function of a parachute. o Video clip or photo of sky divers/ parachutists. 3. Evolution of aids to movement Ask the learners to research and write an essay on: o The history of aids to movement (the wheel and its evolution). o The functionality of a bicycle. Present best essays to the class and/or school bulletin board). 4. Dangers of uncontrolled motion Discuss the dangers of deforestation leading to disasters of landslides and mud slides and how they can be prevented or reduced. Give the learners a chance to view video recordings of land of mud slides (e.g. from National Geographic/or Ugandan television stations). After watching the video ask the learners to discuss the causes; process; effects and possible measures to prevent the slides. Discuss consequences of failing vehicles brakes. o Ask the learners to site cases of motor accidents they have witnessed and to discuss possible causes including the failure of brakes. 9 | School of Education, Makerere and The Open University, UK E-Learning and Teacher Education o Newspaper clippings on accidents caused by failure of brakes (an example is the 2009 accidents on Namirembe road in Kampala). Ask the learners to write a short essay on: o ‘Motion without control’. o ‘Causes of traffic accidents’. Post the best essays on school bulletin board or publish in magazines. 10 | School of Education, Makerere and The Open University, UK