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Solutions to Homework 02

# Solutions to Homework 02 - 029nm Hanna-Jeri 2 341145111434...

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Unformatted text preview: 029nm! Hanna-Jeri. 2 341145111434 U‘ATA (6 page”) You step onto a hot beach with your bare feet. A nerve impulse, generated in your foot, travels through your nervous system at an average speed of 104 m/s. How much time does it take for the impulse, which travels a distance of 1.46 m, to reach your brain? Number 0014038461538 Units 5 Chapter 2, Problem 2 X=V.Jc \7 “7‘1 “/5 p Chapter 2, Problem 6 The three-toed sloth is the slowest moving land mammal. Assume that on the ground the sloth moves at an average speed of 0.0129 m/s, considerably slower than the giant tortoise, which walks at 0.0182 m/s. Aﬁer 18 minutes of walking, how much further would the tortoise have gone relative to the sloth? Number 5.724 Units m Ax X1; — X; Ax = (V; - ’C) ~55 -‘t\ M s (Qt “VS \ ’6 Ax : (0.0122—0-012‘7> (”7- (90;) ll AX: 4.719 m K.”— /—~A Chapter 2, Problem 16 An automobile starts from rest and accelerates to a ﬁnal velocity in two stages along a straight road. Each stage occupies the same amount of time. In stage 1, the magnitude of the car's acceleration is 4.77 m/s2. The magnitude of the car's velocity at the end of stage 2 is 3.57 times greater than it is at the end of stage 1. Find the magnitude of the acceleration in stage 2. Number 12.2589 Units m/sA2 Vl _,_. \fO +a‘+ 9AA Vlzvl Tat-é Chapter 2, Problem 18 A football player, starting from rest at the line of scrimmage, accelerates along a straight line for a time of 4.71 5. Then, during a negligible amount of time, he changes the magnitude of his acceleration to a value of 1.16 m/s2. With this acceleration, he continues in the same direction for another 1.16 s, until he reaches a speed of 7.15 m/s. What is the value of his acceleration (assumed to be constant) during the initial 4.71-s period? Number 1.231422505308 Units m/s"2 Chapter 2, Problem 22 (a) What is the magnitude of the average acceleration of a skier who, starting from rest, reaches a speed of 10.0 m/s when going down a slope for 2.17 s? (b) How far does the skier travel in this time? (a) Number 4.608294930876 Units m/s"2 (b) Number Units m ._. ..’V .- 0 a) Q; "’___:__ ’ZL/j— ; 9.4 “/51 'é':to 2.41s 3‘ Chapter 2, Problem 30 In an historical movie, two knights on horseback start from rest 92.6 m apart and ride directly toward each other to do battle. Sir George's acceleration has a magnitude of 0.286 m/sz, while Sir Alfred's has a magnitude of 0.398 m/sz. Relative to Sir George‘s starting point, where do the knights collide? Number Units In .L 2 X5 = ruoéé + 246:: l 2 '2 ( Z XA+X6=q9méM 5:) J—Qg'ﬁ +EQ’4‘t :g2.ém Chapter 2, Problem 36 A sprinter accelerates from rest to a top speed with an acceleration whose magnitude is 3.65 m/s2. After achieving top speed, he runs the remainder of the race without speeding up or slowing down. The total race is ﬁfty meters long. If the total race is run in 8.05 s, how far does he run during the acceleration phase? Number Units m l 7- ‘ i x1: «4,? +1 X(’l’><7_ -'—' gom ‘3) liqf,?+ “if“ = 5-0“ ’LH'E-ngcgs / ”A (Utop‘q-é! 7.. Xl=é05§ (ha; )OeJ‘mJ/ ﬁlm {he x(;(o.8w~ 01L” Chapter 2, Problem 40 The drawing shows a device that you can make with a piece of cardboard, which can be used to measure a person's reaction time. Hold the card at the top and suddenly drop it. Ask a friend to try to catch the card between his or her thumb and index ﬁnger. Initially, your friend's ﬁngers must be level with the asterisks at the bottom. By noting where your friend catches the card, you can determine his or her reaction time in milliseconds (ms). Calculate the distances (a)d1, (b)d2, and (c)d3. (a) Number 0.01764 Units m (b) Number 0.07056 Units m (c) Number 0.15876 Units m _L 'L 3’ 20.15 Q: ﬁ-gkljl ' —Z "L :43: L '2 Chapter 2, Problem 54 A ball is thrown upward from the top of a 25 .7-m-tall building. The ball's initial speed is 12.5 m/s. At the same instant, a person is running on the ground at a distance of 39.0 m from the building. What must be the average speed of the person if he is to catch the ball at the bottom of the building? Number 10.007886571654 Units m/s ( Z 3 .c ’UO'é + .12 44:2 :3 — 25-7 £02.59'é +3C'7.Z)f ’Houe/k ﬂ. ,- S‘ flu... x: wt ’ ‘5 ,____ V ___>_<.. 361’“ L0 “/5 ,— — —(-_ 't c: .\, Chapter 2, Problem 62 A helicopter is lifting off from the ground and is moving vertically upward. The graph shows its vertical velocity vy versus time. How high is the helicopter after 12.0 s have elapsed? 13. (misl Number Units m ...
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