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1 Homework #2. Ph 231 Inroducory Physics, Sp-03 Page 1 of 4 2-1A. A person walks 2 miles Eas (E) in 40 minues and hen back 1 mile Wes (W) in 20 minues. Wha are her average speed and average velociy (in ha order) in miles/hr (mph)? (a) 1 mph; 3 mph E (b) 3 mph; 1 mph W (c) 3 mph; 1 mph E (d) 4 mph; 1 mph E (e) 3 mph; 0 mph E 2-2A. Which one of he following saemens is wrong? Neglec air resisance. (a) When a ball hrown verically up is sill rising, is velociy and acceleraion are in opposie direcions. (b) An objec can be increasing in speed as is acceleraion decreases in magniude. (c) A ball is dropped sraigh down from a ower and simulaneously an idenical ball is hrown horizonally from he same place wih speed = 2 m/s. The second ball should hi he ground firs. (d) In a 2 lap qualifying hea on a circular rack, a racing car covers he firs lap a an average speed of 100 mi/hr. I is hen impossible for he car o average 205 mi/hr for he enire 2 lap hea. (e) When a ball hrown verically up is laer falling, is velociy and acceleraion are in he same direcion. 2-3A. A ball is hrown sraigh up ino he air by a person sanding on he ground. Consider hree separae imes: (A) while i is sill on is way UP ( ); (B) when i is a he TOP of is fligh; and (C) while i is on he way DOWN ( ). Which one of he following ses of arrows correcly describes he direcions of velociy (v ) and acceleraion (a ) a hese hree imes as seen by he sanding person? (a) (A) v, a (b) (A) v, a (c) (A) v, a (d) (A) v, a (e) (A) v, a (B) v = 0, a (B) v = 0, a = 0 (B) v = 0, a (B) v = 0, a (B) v = 0, a (C) v, a (C) v, a (C) v, a (C) v, a (C) v, a 2-4A. Which one of he following saemens is WRONG? (a) A he op of he fligh of a ball hrown verically upward, is velociy is zero. (b) An objec s velociy can pass hrough zero while he objec is acceleraing. (c) The velociy of an objec can reverse direcion while is acceleraion is consan. (d) An objec can have a consan velociy and sill have a varying speed. (e) I would be unreasonable o neglec air resisance in analysing he fall of a feaher. 2-5A. Wha are your average speed and average velociy (in ha order) for he whole rip if you go from x = 5 m o x = 20 m in 4 sec and hen from x = 20 m o x = 17 m in 2 sec? Take posiive x as +. (a) 3 m/s, +2 m/s (b) 2 m/s, + 3m/s (c) 2 m/s, +2 m/s (d) 3 m/s, - 2 m/s (e) None of hese is close. 2-6A. The figure a he righ shows x(), he posiion as a funcion of ime,, of a paricle moving along he xxis. Wha is he average velociy of his paricle for he ime period 0 o 4 sec? (a) + 2 m/s (b) m/s (c) m/s (d) + 1 m/s (e) You can only calculae i if x() is a sraigh line. 2-7A. An objec is dropped from res. Neglec air resisance. If i falls a disance s 1 during he firs second, how far is s 2, he disance i falls during he second second? Tha is, he raio s 2 /s 1 =: (a) 1 (b) 2 (c) 4 (d) 3 (e) 8 x x(m) (sec ) 2-8A. The figure a he righ shows he posiion as a funcion of ime of a paricle moving in a sraigh line. Which one of he following graphs bes describes is velociy as a funcion of ime? (a) (b) (c) (d) (e)

2 Homework #2. Ph 231 Inroducory Physics, Sp-03 Page 2 of A. Abou how far does your car, moving a 100 km/hr, ravel forward during he 1 sec. of ime ha you ake o look a a roadside acciden? (a) 100 km (b) 100 m (c) 28 m (d) 56 m (e) None of hese is close. 2-10A. An airplane ouches down wih a landing speed of 220 km/hr and akes 9 sec o sop. If i sops wih consan acceleraion, abou how far in meers does i ravel during hose 9 sec? (a) 550 m (b) 55 m (c) 1980 m (d) 275 m (e) You don have enough informaion o ell. 2-11A. Neglecing air resisance, and aking g = 10 m/s 2, a sone dropped from res off a 45 m all building would hi he ground in abou how many seconds? (a) 0.5 sec. (b) 4.5 sec (c) 9.5 sec (d) 3 sec (e) None of hese. 2-12A. A car raveling wih iniial speed v, comes o a sop in ime, having covered disance d. The deceleraion a during ime is consan. Which of he following saemens is correc? (a) d = v/2 (b) v(average) = v/ (c) a = v/2. (d) d = (v 2 )/2 (e) None of hese is correc. 2-13A. A ball is hrown upward wih iniial speed v = 20 m/s. How high does i rise? And how long does i ake o reach is maximum heigh? Assume is acceleraion has magniude 10 m/s 2. (a) 10m, 2 sec (b) 20 m, 1 sec (c) 20m, 2 sec (d) 10 m, 1 sec (e) None of hese is correc. 2-14A. Two cars A and B are raveling a speeds v A and v B, respecively, direcly oward each oher. A = 0 hey are 2 km apar. The ime when hey pass each oher is proporional o: (a) 1/(v A - v B ) (b) v A + v B (c) v B v A (d) 1/(v A + v B ) (e) v A v B 2-15A. The figure a he righ shows he velociy v as a funcion of ime for a paricle moving along he xxis. On which segmen A, B, or C, is he magniude of is acceleraion larges, and on which segmen (if any) is is acceleraion negaive? (a) A, A (b) B, B (c) C, C (d) B, A (e) A,C v 0 a A B b C c

3 Homework #2. Ph 231 Inroducory Physics, Sp-03 Page 3 of 4 2-1B. A person walks 1 mile Eas (E) in 20 minues and hen runs back he 1 mile Wes (W) in 10 minues. Wha are her average speed and average velociy (in ha order) in miles/hr (mph )? (a) 4 mph; 0 mph E (b) 3 mph; 4 mph E (c) 0 mph; 4 mph E (d) 4 mph; 1 mph E (e) 3 mph; 0 mph E 2-2B. Which one of he following saemens is wrong? Neglec air resisance. (a) When a ball hrown verically up is sill rising, is velociy and acceleraion are in opposie direcions. (b) An objec can be decreasing in speed as is acceleraion decreases in magniude. (c) A ball is dropped sraigh down from a ower and simulaneously an idenical ball is hrown horizonally from he same place wih speed = 2 m/s. Boh balls should hi he ground a he same ime. (d) In a 2 lap qualifying hea for a race on a circular rack, a racing car covers he firs lap a an average speed of 100 mi/hr. The car can sill average 205 mi/hr for he 2 lap hea. (e) While a ball hrown verically upward is falling, is velociy and acceleraion are in he same direcion. 2-3B. A ball is hrown verically upward, reaches is highes poin, and falls back down. Which one of he following is rue abou is velociy v and is acceleraion a during is rip? (a) When i moves up, v is up and a is up. (b) When i moves up, v is up and a is down. (c) When i moves up, v is down and a is up. (d) When i moves down, v is up and a is down. (e) When i moves down v is down and a is up. 2-4B. Which one of he following saemens is WRONG? (a) A he op of he fligh of a ball hrown verically upward, is velociy is direced downward. (b) An objec s velociy can pass hrough zero while he objec is acceleraing. (c) The velociy of an objec can reverse direcion while is acceleraion is consan. (d) If an objec s speed is varying, is velociy mus be varying. (e) I would be unreasonable o neglec air resisance in analysing he fall of a feaher. 2-5B. Wha are your average speed and average velociy (in ha order) for he whole rip if you go from x = 5 m o x = 10 m in 3 sec and hen from x = 10 m o x = -5 m in 2 sec? Take posiive x as +. (a) 2 m/s, - 2m/s (b) 4 m/s, -2 m/s (c) 4 m/s, + 2 m/s (d) 4 m/s, + 2 m/s (e) None of hese is close. 2-6B. The figure a he righ shows x(), he posiion as a funcion of ime,, of a paricle moving along he xxis. Wha is he average velociy of his paricle for he ime period 1 o 4 sec? (a) m/s (b) m/s (c) m/s (d) + 1 m/s (e) You can only calculae i if x() is a sraigh line. x(m ) B. An objec is dropped from res. Neglec air resisance. If i falls a disance s 1 during he firs second, how far is s 3, he disance i falls during he hird second? Tha is, he raio s 3 /s 1 =: (a) 1 (b) 2 (c) 3 (d) 6 (e) 5 (sec) 2-8B. The figure a he righ shows he velociy of a car as a funcion of ime. Which one of he following graphs mos closely describes is acceleraion as a funcion of ime? (a) (b) (c) (d) (e)

4 Homework #2. Ph 231 Inroducory Physics, Sp-03 Page 4 of 4 2-9B. Abou how far does your car, moving a 70 mi/hr, ravel forward during he 2 sec. of ime ha you migh ake o look a a roadside acciden? (a) 140 f (b) 35 f (c) 102 f (d) 205 f (e) None of hese is close. 2-10B. A drag racer acceleraes wih consan acceleraion from 0 o 100 km/hr in 6 sec. Abou how far does she ravel during he 6 sec.? (a) 300 km (b) 83 m (c) 300 m (d) 167 km (e) You don have enough informaion o ell 2-11B. Neglecing air resisance, a sone hrown horizonally a a speed of v = 30 m/sec from he op of an 80 m all building would hi he ground afer how many seconds? Take g = 10 m/s 2. (a) 4 sec (b) 3 sec (c) 8 sec (c) 8/3 sec. (d) No enough informaion o ell. 2-12B. A car raveling wih iniial speed v, comes o a sop in ime, having covered disance d. The deceleraion a during ime is consan. Which one of he following saemens is correc? (a) a = /2 (b) d = (v 2 )/2 (c) d = v (d) v(average) = v/2 (e) None of hese is correc. 2-13B. A ball is hrown upward wih iniial speed v = 40 m/s. How high does i rise? And how long does i ake o reach is maximum heigh? Assume is acceleraion has magniude 10 m/s 2. (a) 40m, 4 sec (b) 40 m, 2 sec (c) 80m, 8 sec (d) 80 m, 4 sec (e) None of hese is correc. 2-14B. Two cars A and B are raveling a speeds v A and v B, respecively, direcly away from each oher. A = 0 hey are 2 km apar. The ime when hey pass each oher is proporional o: (a) 1/(v A - v B ) (b) v A + v B (c) v B v A (d) 1/(v A + v B ) (e) v B v A 2-15B. The figure a he righ shows he velociy v as a funcion of ime for a paricle moving along he xxis. On which segmen A, B, or C, is is acceleraion negaive, and a which poin a,b, or c, is i furhes from he origin? (a) A, a (b) B, b (c) C, c (d) A, c (e) C, b v B b C c 0 A a

5 2-1A) c 2A) c 3A) e 4A) d 5A) a 6A) b 7A) d 8A) c 9A) c 10A) d 11A) d 12A) a 13A) c 14A) d 15A) e 2-1B) a 2B) d 3B) b 4B) a 5B) b 6B) d 7B) e 8B) d 9B) d 10B) b 11B) a 12B) e 13B) d 14B) d 15B) d

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