Problem Solving Day: Geometry, movement, and Free-fall. Test schedule SOH CAH TOA! For right triangles. Last year s equation sheet included with exam.

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1 Problem Solving Day: Geometry, movement, and Free-fall. Test scedule First mid-term in 2 weeks! 7-10PM; Feb 8, Eiesland Hall. Review and practice a little eac day!!! ME THIS WEEK if you ave class or atletic conflicts. For oter conflicts, please note rules on te syllabus! Last year s equation seet included wit exam. Understanding problem solving and PRACTICE are really wat are going to elp you do well. Make sure you practice a little every day and sort out your misunderstandings: you won t do well if you wait ten cram. Topics: Capters 1 3 including: Units, conversion, and estimation. Horizontal kinematics and free-fall. Graping x, v, and a vs. time Projectile motion (we ll study it tis week). SOH CAH TOA! For rigt triangles e us ten po y H ssin = o sin = Opposite Adjacent a2 + b2 = c2 sin cos == a ccos = cos = tan = tan = o ttan = a so ca toa Pytagorean Teorem c =

2 No talking please! You re in Paris, far away from te Eiffel tower. Your friends want to walk to te tower. You know it is 300m tall, and it appears to ave an angular size of ~20 degrees. You want to impress your friends by telling tem ow far it is, so you remember Pysics and wip out your calculator. About ow far is te Eiffel Tower? A. 110 m B. 800 m C m D. 5 km Q11 o ssin = sin = sin = cos = a ccos = cos = tan = tan = o t = tan a Example: Surveying te River (speak to your neigbor) A surveyor wants to measure te distance across a river. Starting directly across from a big tree on te bank, e walks 100 m along te riverbank to establis a baseline. Ten, e sigts across to te tree. Te angle from is baseline to te tree is 35 degrees. How wide is te river? Draw a picture. Q12 A. 1 m B. 20 m C. 70 m D. 100 m E. 1 km Pysics Life Hack! 100 m river cos = o ttan = a sin = D You can easily measure te size of anyting you know te distance to! = Your and at arm s lengt gives excellent indicator of angular size! cos = o ttan = a sin = Try tis wen you go ome tonigt: estimate te size of someting in D town or in your room. You can easily measure te size of anyting you know te distance to! Your and at arm s lengt gives excellent indicator of angular size!

3 Let s solve problems! We ll breeze troug te topics we ve covered For practice and diagnosis :). No catting please. 1. Dimensional analysis, unit conversion. 2. Estimation. 3. Graping. 4. Multi-pase problems. Dimensional analysis Wat are te SI units of eac piece of tis equation? Δx = v 0 t + ½ at 2 Q A. m m/s m/s 2 B. m m m/s C. All are m/s D. All are meters Unit conversion How many cm are in 3 feet? 1 m = 3.28 ft Q14 A. 1.0 B C D E Estimation: Humans to te Moon Te moon is about 2.4 x 10 5 miles from Eart. If you stacked up adult umans, eac standing on te next one s ead, estimate ow many would you need to stack to reac te Moon. 1 mile = 1604 m Q15 A. 100 people B people C people D people E people

4 Graping A driver is traveling west. Se comes to a stop at a stop sign and ten continues traveling in te same direction. If te positive direction is taken to be east, wic velocity vs. time grap could describes tis motion? Q16 Multi-stage problems Make a plan. Identify important EVENTS and INFORMATION. Wat variables do you need to deal wit? Wat is actually being asked? Follow problem-solving strategies for eac part of te problem! Multi-stage problems Make a plan. Identify important EVENTS and INFORMATION. Wat variables do you need to deal wit? Kinematics: always x, v, a, t Wat is actually being asked? Follow problem-solving strategies for eac part of te problem! A jogger running at 6 mp drops er keys, and ten comes to a stop witin 2 seconds. Se ten walks back to get er keys. How far does se need to walk back to get te keys [assume constant acceleration]? Practice your tips: 1. Identify important parts and information. 2. Draw it. 3. Make axes. 4. KNOWNS and UNKNOWNS. 5. Pick te rigt formula.

5 Practice Resources Book: odd numbered problems ave answers in te back! Office ours T.A. office ours. ttp://saraspolaor.faculty.wvu.edu/ome/ pysics-101/practice-problems

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