Of all of the intellectual hurdles which the human mind has confronted and has overcome in the last fifteen hundred years, the one which seems to me

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Transcription:

Of all of he inellecual hurdles which he human mind has confroned and has overcome in he las fifeen hundred years, he one which seems o me o have been he mos amazing in characer and he mos supendous in he scope of is consequences is he one relaing o he problem of moion. Herber Buerfield in The Origins of Modern Science 1

You and your dog go for a walk o he park. On he way, your dog akes many side rips o chase squirrels or examine fire hydrans. When you arrive a he park, do you and your dog have he same displacemen? A. Yes B. No C. Impossible o ell based on informaion given 2

Wha is he displacemen from = 0s o = 4s? 3

Wha is he displacemen from = 2s o = 7s? 4

Wha is he disance raveled from = 2s o = 6s? 5

An objec goes from one poin in space o anoher. Afer i arrives a is desinaion, is displacemen is A. eiher greaer han or equal o B. always greaer han C. always equal o D. eiher smaller han or equal o E. always smaller han F. eiher smaller or larger, bu never equal o he disance i raveled. 6

You hrow a ball sraigh up and cach i laer a he same poin. The average velociy of he ball during is fligh is A. Posiive B. Negaive C. Zero D. Impossible o ell based on informaion given 7

You hrow a ball sraigh up and cach i laer a he same poin. The average speed of he ball during is fligh is A. Posiive B. Negaive C. Zero D. Impossible o ell based on informaion given 8

Wha is he average velociy beween = 1s and = 3s? 9

Wha is he average velociy beween = 3s and = 7s? 10

A rain moves along a long sraigh rack. This graph shows he posiion of he rain as a funcion of ime. x The graph shows ha he rain A. speeds up all he ime B. slows down all he ime C. speeds up par of he ime and slows down par of he ime D. moves a a consan velociy 11

The graph shows posiion versus ime for wo rains running on parallel racks. x Which is rue: A. A ime B, he rains have he same velociy B. Boh rains speed up all he ime C. Boh rains have he same velociy a some ime before B. D. The rains never have he same velociy. B 12

An objec s posiion is given by x() = a 3 + b 2 + c where a, b, and c are specified consans and is given in seconds. Wha are he unis of a? A. m B. m/s C. m/s 2 D. m 2 /s E. s 3 /m F. Somehing else 13

An objec s posiion is given by x() = a 3 + b 2 + c where a, b, and c are specified consans and is given in seconds. Find he velociy of he objec a = 1 s. 14

v You roll a ball up a ramp and cach i when i reurns o you. Righ afer i leaves your hand and before you cach i, which of hese plos represens he v vs. graph for his moion? (Assume your x-axis is poining up he ramp.) v A C v B D 15

You drop a rubber ball. From when i leaves your hand o when i reurns o your hand, which of hese plos represens he v vs. graph for his moion? (Assume your y-axis is poining up.) v v A C v B D 16

An objec has he insananeous velociy shown. How does i move? (I.e., wha does x() look like?) Can you hink of an example of his moion? v 17

An objec has he insananeous velociy shown. How does i move? (I.e., wha does x() look like?) Can you hink of an example of his moion? v 18

Consider he line labeled A in he v versus plo. How does he speed change wih ime for line A? A. decreases B. increases C. says consan D. increases, hen decreases E. decreases, hen increases v A B 19

Consider he line labeled A in he v versus plo. How does he speed change wih ime for line B? A. decreases B. increases C. says consan D. increases, hen decreases E. decreases, hen increases v A B 20

Which ball wins he race? A. The ball on he fla rack B. The ball on he rack wih he dip C. I s a ie D. No way o ell! 21

You roll a ball up an incline and wai for i o reurn o you. A he ball s highes poin, is A. velociy and acceleraion are zero B. velociy is nonzero bu he acceleraion is zero C. acceleraion is nonzero, bu he velociy is zero D. velociy and acceleraion are boh nonzero 22

An objec s posiion is given by x() = a 3 + b 2 + c where a, b, and c are specified consans and is given in seconds. Find a formula for he acceleraion of he objec a any ime. 23

Alice and Bill are a he op of a building. Alice hrows her ball downward. Bill simply drops his ball. Which ball has he greaer acceleraion jus afer release? A. Alice s ball B. I depends on how hard he ball was hrown C. Neiher hey boh have he same acceleraion D. Bill s ball Alice v 0 Bill v A v B 24

Alice and Bill are a he op of a cliff of heigh H. Boh hrow a ball wih iniial speed v 0, Alice sraigh down and Bill sraigh up. The speeds of he balls when hey hi he ground are v A and v B. If here is no air resisance, which is rue? A. v A < v B B. v A = v B Alice v 0 Bill C. v A > v B D. impossible o ell v 0 v A v B H 25