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Activity VII: Synthesis Challenge Use the ideas you have developed in this lab to tackle the following challenge task: Meeting in the middle. A battery operated fan cart and a motorized toy car are placed 2 meters apart and started toward each other at the same time. (At the start. the fan is turned on and the cart is released from rest. while the toy car is turned on and placed on the track.) {'9/here will they meet?! To make your prediction. experiment with the cart and the car individually. but do not run them together. You can use any of the equipment. ideas. or techniques from the lab. When you have a prediction. call your instructor over before testing it. Ifyou succeed on the rst try. you are eligible for extra credit! If your prediction is not accurate. review your method to identify any errors. Below record sketches. data. graphs. calculations. etc. that were important in your thinking. Try to sununatize your group's thinking process enough detail so that another group (and your instructor) could follow and repeat your experiment. Stating the answer is much less important than describing the steps that led to that answer. I) m t). Model the siruation: 0 Make simplifying assumptions - Disregard irrelevant details and complications that can be omitted Visualize the situation: 0 First draw a picture that shows the system at each instant of interest. and includes a coordinate system and defines relevant quantities 0 Then construct a more technical. \"physics" representation such as a freerltody diagram Plan a solution: Identify a goal. What quantity are you gorng to calculate? Assemble the relevant quantitative tools tie. equations I. Organize know and unknown quantities. for example using a table. Sketch out a plan for how you can manipulate the equations to reach the goal. Carry out the solution. Try to resist skipping steps. and work symbolically as long as possible. Assess the solution Does it haye the correct units'.' Is the Value reasonable? Does it answer the