1C1D+Workbook

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University of South Florida *

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6115

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Mechanical Engineering

Date

Dec 6, 2023

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pdf

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Uploaded by CoachDiscovery9345

@ Kinematics 1.C Average vs. Instantaneous Speed PART A: PART B: PART C: NAME DATE Scenario A toy company claims to have developed two toy car models which they call A and B, where the average speed of each car is identical (0.50+0.02%). Each group of students is given two toy cars (one of each model), metersticks, and stopwatches and is asked to test the toy company’s claim. Experimental Design The students decide that they need to collect distance and time data for each car to test the company’s claim. The students design a procedure. Cross out any extraneous steps and order the remaining procedural steps: Turn the car on and release along the measured path. Gather equipment. & Repeat to reduce error. 3 Measure and record the time the car took to travel the 2 meters with a stopwatch. ‘ Measure a 2-meter-long path on the floor. Draw a data table in your notebook. L?\ll;:[:::p g:: efi g::eg Data Analysis 1 0.45m/s 0.54 m/s Given is a data set collected by students in the class. 2 0.46 m/s 0.52m/s Based on these data, what conclus.ion should the 3 0.42 mfs 0.56 m/s students make about the hypothesis that the two cars, A and B, have the same speed? 4 0.43mis 0.55 m/s The cars have the same average speed. 5 0.74 m/s 0.23 m/s / The cars have different average speeds. 6 0.44 m/s 0.54 m/s AVERAGE 0.49 m/s 0.49 m/s Explain your choice in one short sentence. Coc A Yoo o average Speed v ‘he 40c ol (® » ‘¢ o Phe S(;’S '-exc(ud:ng ovesoge gLoeea’ Experimental Design The students decide that additionally they want to test the toy company’s claim that the car’s speed is constant throughout the motion. How, if at all, does the experimental procedure from Part A need to be modified to verify that the car’s instantaneous speed is constant? Angela thinks they should use a motion sensor to collect speed vs. time data. If the graph of speed vs. time is horizontal with a zero slope, the instantaneous speed is constant. Blake thinks that they should use photogates positioned at the beginning and end of the 2-meter-long track to determine the instantaneous speed of the cart. The students measure the length of the cart and divide this length by the time recorded by the photogate to determine the instantaneous speed. Identify which student’s procedure will provide evidence for the claim that the instantaneous speed of the cart is constant.

@ Kinematics 1.D Velocity Is a Vector! NAME DATE Scenario Angela and Blake are running toward each other from 15 m away. At timet = 0 s, Angela runs to the right at 5 m/s, and Blake runs to the left at 3 m/s. “rl!ll‘lll—rllllll Using Representations PART A: Complete the table and draw a position vs. time graph for Angela and Blake for the first 3 seconds. Make each graph a different color and include a key. Time (seconds) Angela’s Position (meters) Blake’s Position (meters) 0 1 2 3 15 e g e 10 c ) s 17} g L 1 2 3 Time (s) Quantitative Analysis PARTB: Calculate the slope of the line you drew in Part A for Angela by choosing two points on the line and filling in the equation below: slo e:@:yz_y1=( )m_( )m m_ fop run x,—x, ( )s—( )s S () PART C: Calculate the slope of the line you drew in Part A for Blake by choosing two points on the line and filling in the equation below: rise_ymy ((Jm=( Jm__ m_ lope = P x-x ( )s=( )s s

1.D Velocity Is a Vector! Using Representations PART D: Based on the slopes you calculated in Parts B and C, sketch a velocity vs. time graph for Angela and Blake. Make each graph a different color and include a key. N W A O Velocity (m/s) Time (s) Argumentation PARTE: Carlos makes the following claim about the intersection point of the two lines on the position vs. time graph in Part A. “The point on the position vs. time graph where the two lines cross represents the time when Angela and Blake are at the same position and traveling at the same velocity.” The student’s claim is partially correct. Fill in the blanks of the following statement using evidence from the graph to correct the student’s claim. Claim: I agree that the _ ___is the same because Angela and Blake do have the same physical quantity meters at S seconds. However, I do not agree that they have the u (o) physical quantity number same _ ____becausethe slope of onelineis___ m/s and the slope of the other line physical quantity number is________m/s. number

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