* . WCLN.ca '- :- Name: 1Ii'iihat are the properties of a projectile that make Its path predictable? 1titthat factors might signicantly change this path? How can we be sure that the "human eannonball" hits the safe target? When Commander David Soott landed on the moon he performed a famous experiment where he simultaneously dropped a hammer and a feather at the same time. Some viewers were surprised when they hit the ground at the same time. A good sinmlator can be a quick and useful tool for examining how a projectile behaves as it ies through the air. What are the properties of a goodr predictable projectile? 2021-10-21 Page lot 1? Physics: Projectile Motion WCLN.ca b. Use the slope to determine the acceleration of your projectile. DO NOT CALCULATE ACCELERATION USING DATA POINTS! YOU MUST USE YOUR SLOPE VALUE (as this will average out ALL of your data points) Acceleration (using slope of graph) - show all work Acceleration: a = c. What should the acceleration be (in theory)? (include units) d. Determine the percentage error between your "experimental" acceleration (from the slope), and the theoretical acceleration. Percentage error for acceleration: %error = [experimental - theoretical | * 100% theoretical e. What was the intercept, b, approximately equal to? b= (include units) f . Given the equation for the intercept above, explain how this agrees with what it should be in theory. 2021-10-21 Page 10 of 17at wane??- A feather was dropped an the 1110-011 from rest at a height of4tJn1 and its vertical speed at various points was recorded in the table below as it fell. Your task is to use the data below to construct a graph that is straight so that you can use the slope of this graph to nd the gravitational eld strength, 3. Vertical Speed (this) Displacement {or} now nu- butt \"In? U U 4.| 5 5.3 9.9 7.| |5,| 3.2 20.0 'M 24.3 I. Write down the kinematic equations that relate height {at or it) and vertical speed (1);]. Explain why would want to avoid equations with time. t. Kinematic Equation (relating height and vertical speed): Witymaxt we avoid equations with time? {Don't overtiitnit this) 2. Using the equation chosen above. describe what would need to be graphed to determine the acceleration ofgravity. g. on the moon. Be sure to explain how you would use the graph to determine \""3. (ll in the last column of the data table with the appropriate variable to be graphud} 2021-10-21 Page 13 of 1'." \f4L watts?" Instructions Using a pencil. answer the following questions. The lab is marked based on clarity ofresponscs. completeness, neatness, and accuracy. Do your best! Please cnsm'e that any data measured {or recorded} includes the appropriate number of signicant digits {only one uncertain digit}. This activity is divided into three sections: :- ('nt'e This rst section explores onlyr the basil: \"core" ideas involved in understanding, Students must demonstrate a sound understand with all of their answers in this section BEFORE attempting the next section. a Hunter}- Your instructor will NOT review this section if the Core section above shows any misconceptions. In this section students will make predictions and apply the concepts and ideas learned above. For complete mastery it is expected that data collection and scientific procedures will be as accurate as possible. All work shown should be clear with any units included. Answers should be rounded oil' to the conch number of signicant gures based on the data collected. e \\u- Once again, your instructor will only look at this section provided hefshe is condent that the above l'lrlttsterjur criteria has been met. In this section students will demonstrate a deeper understanding of the concepts through error analysis, experimental design etc. Physics concepts from other units already covered will often be required here. Use the Peer simulation entitled Prom-rite Morton. Choose the Intro tab for this rst part. Click the image below or go to ht :i':r het.colorado.edufsimsthtmlr' ro'ectilemotioni'latestf ro'ectiIemotion enhtml 20211021 Page 2 of 1? 4L WCLng-ir Is the shape of the graph consistent wi1h you: prediction in (g) alzsove'.j iii. What is the major limitation of the simulation that prevents you from g -tting the perfect shaped graph? "Graphing Technique" Curt-ed lines make it difcult to determine the actual equation dial represents the data. Straight tines make it easg,r since all we need to do is nd the slope. m. and the y-intereept. h to be able to describe the equation of the line in slope-intercept form {y = mx + b). The trick with nonvlinear graphs is to know the general equation for the relationship a change your x-aais to match this relationship. Let's do this one together. We should know from pan (g) that the relationship is quadratic {you should notice a slight curve on your graph] since we solved it using the kinematics equation :1 = Vtt +- Lr': atI Since at = height we will use it and v, = zero verticallyr (recall we only had a horizontal component for the initial velocity}. Making these substitutions we get h \"K: at: where "a\" is a constant {9.3 mislt 1 Ifwe graph h on the yaxis and t on the x-axis we are graphing a relation that looks like y ' ['1- uf-n- - where ts a constant. Obviously. this will create a parabola (quadratic). How do we straighten the line? We need to change 1he x-axis to match the equation. Instead oilgtraphing \"I", we should graph \":3". Note that irllie y-axis is \"It\" and the x-axia is r' we will have graphed a straight line. Let's make the substitutions and see. it is still}: and r' is now it. Our equation it - '2': or\" beeomesy 5'9 u.r which should be a straight line! Alternate Method: We have two columns of data; it and t. We have an equation that relates these two columns for this particular situation; it to m" . lfwe wish to determine the values ofeonstanls in this equation, "I.- u. we solve and get 99! Ht\" ohm t3 is the slope oFan h vs t" graph. Therefore ifwe graph It vs r' the slope will be euivalent to it n. 2021-10-21 Page J" of 1?