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Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Textbook Question
Chapter 2, Problem 69P
(III) Air resistance acting on a falling body can be taken into аccount by the approximate relation for the acceleration:
a=dvdt=g−kv,
where k is a constant, (a) Derive a formula for the velocity of the body as a function of time assuming it starts from rest (v = 0 at t = 0), [Hint: Change variables by setting (u = g − kv.]) (b) Determine an expression for the terminal velocity, which is the maximum value the velocity reaches.
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Chapter 2 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 2.1 - An ant starts at x = 20cm on a piece of graph...Ch. 2.2 - A car travels at a constant 50km/h for 100 km. It...Ch. 2.3 - What is your speed at the instant you turn around...Ch. 2.4 - A powerful car is advertised to go from zero to 60...Ch. 2.4 - A car moves along the x axis. What is the sign of...Ch. 2.4 - The position of a particle is given by the...Ch. 2.5 - A car starts from rest and accelerates at a...Ch. 2.7 - Return to the Chapter-Opening Question. page 18,...Ch. 2.7 - If a car is said to accelerate at 0.50 g, what is...Ch. 2.7 - Two balls are thrown from a cliff. One is thrown...
Ch. 2 - Does a car speedmeter measure speed, velocity, or...Ch. 2 - Can an object have a varying speed if its velocity...Ch. 2 - When an object moves with constant velocity, does...Ch. 2 - If one object has a greater speed than a second...Ch. 2 - Compare the acceleration of a motorcycle that...Ch. 2 - Can an object have a northward velocity and a...Ch. 2 - Can the velocity of an object be negative when its...Ch. 2 - Give an example where both the velocity and...Ch. 2 - Two cars emerge side by side from a tunnel. Car A...Ch. 2 - Can an object be increasing in speed as its...Ch. 2 - A baseball player hits a ball straight up into the...Ch. 2 - As a freely falling object speeds up, what is...Ch. 2 - You travel from point A to point B in a car moving...Ch. 2 - Can an object have zr velocity and nonzero...Ch. 2 - Can an object have zero acceleration and nonzero...Ch. 2 - Which of these motions is not at constant...Ch. 2 - In a lecture demonstration, a 3.0-m-long vertical...Ch. 2 - Describe in words the motion plotted in Fig. 236...Ch. 2 - Describe in words the motion of the object graphed...Ch. 2 - (I) If you are driving 110 km/h along a straight...Ch. 2 - What must your cars average speed be in order to...Ch. 2 - (I) A particle at t1 = 2.0 s is at x1 = 4.3 cm and...Ch. 2 - A rolling ball moves from x1 = 3.4 cm to x2 = 4.2...Ch. 2 - (II) According to a rule-of-thumb, every five...Ch. 2 - (II) You are driving home from school steadily at...Ch. 2 - (II) A horse canters away from its trainer in a...Ch. 2 - (II) T x = 34 + 10t 2t3, where t is in seconds...Ch. 2 - (II) The position of a rabbit along a straight...Ch. 2 - (II) On an audio compact disc (CD), digital bits...Ch. 2 - A car traveling 95 km/h is 110 m behind a truck...Ch. 2 - (II) Two locomotives approach each other on...Ch. 2 - (II) Digital bits on a 12.0-cm diameter audio CD...Ch. 2 - (II) An airplane travels 3100 km at a speed of 720...Ch. 2 - (II) Calculate the average speed and average...Ch. 2 - (II) The position of a ball rolling in a straight...Ch. 2 - (II) A dog runs 120m away from its master in a...Ch. 2 - (III) An automobile traveling 95 km/h overtakes a...Ch. 2 - (III) A bowling ball traveling with constant speed...Ch. 2 - (I) A sports car accelerates from rest to 95 km/h...Ch. 2 - (I) At highway speeds, a particular automobile is...Ch. 2 - (I) A sprinter accelerates from rest to 9.00m/s in...Ch. 2 - (I) Figure 2-37 shows the velocity of a train as a...Ch. 2 - (II) A sports car moving at constant speed travels...Ch. 2 - (II) A car moving in a straight line starts at x =...Ch. 2 - (II) A particular automobile can accelerate...Ch. 2 - (II) A particle moves along the x axis. Its...Ch. 2 - (II) The position of a racing car, which starts...Ch. 2 - (II) The position of an object is given by x = At...Ch. 2 - (I) A car slows down from 25 m/s to rest in a...Ch. 2 - (I) A car accelerates from 12 m/s to 21 m/s in 6.0...Ch. 2 - (I) A light plane must reach a speed of 32m/s for...Ch. 2 - (II) A baseball pitcher throws a baseball with a...Ch. 2 - (II) Show that =(+0)/2 (see Eq. 2-12d) is not...Ch. 2 - (II) A world-class sprinter can reach a top speed...Ch. 2 - (II) An inattentive driver is traveling 18.0 m/s...Ch. 2 - (II) A car slows down uniformly from a speed of...Ch. 2 - (II) In coming to a stop, a car leaves skid marks...Ch. 2 - (II) A car traveling 85 km/h slows down at a...Ch. 2 - (II) A car traveling at 105 km/h strikes a tree....Ch. 2 - (II) Determine the stopping distances for an...Ch. 2 - (II) A space vehicle accelerates uniformly from 65...Ch. 2 - (II) A 75-m-long train begins uniform acceleration...Ch. 2 - (II) An unmarked police car traveling a constant...Ch. 2 - (III) Assume in Problem 44 that the speeders speed...Ch. 2 - (III) A runner hopes to complete the 10,000-m run...Ch. 2 - (III) Mary and Sally are in a fool race (Fig....Ch. 2 - (I) A stone is dropped from the top of a cliff. It...Ch. 2 - (I) If a car rolls gently (v0 = 0) off a vertical...Ch. 2 - (I) Estimate (a) how long it took King kong to...Ch. 2 - (II) A baseball is hit almost straight up into the...Ch. 2 - (II) A ball player catches a ball 3.2 s after...Ch. 2 - (II) A kangaroo jumps to a vertical height of 1.65...Ch. 2 - (II) The best rebounders in basketball have a...Ch. 2 - (II) A helicopter is ascending vertically with a...Ch. 2 - (II) For an object falling freely from rest, show...Ch. 2 - (II) A baseball is seen to pass upward by a window...Ch. 2 - (II) A rocket rises vertically, from rest, with an...Ch. 2 - (II) Roger sees water balloons fall past his...Ch. 2 - (II) A stone is thrown vertically upward with a...Ch. 2 - (II) A falling stone takes 0.33 s to travel past a...Ch. 2 - (II) Suppose you adjust your garden hose nozzle...Ch. 2 - (III) A toy rocket moving vertically upward passes...Ch. 2 - (III) A ball is dropped from the top of a...Ch. 2 - (III) A rock is dropped from a sea cliff and the...Ch. 2 - (III) A rock is thrown vertically upward with a...Ch. 2 - (II) Given v(t) = 25 + 18t, where v is in m/s and...Ch. 2 - (III) The acceleration of a particle is given by...Ch. 2 - (III) Air resistance acting on a falling body can...Ch. 2 - A fugitive tries to hop on a freight train...Ch. 2 - The acceleration due to gravity on the Moon is...Ch. 2 - A person jumps from a fourth-story window 15.0 m...Ch. 2 - A person who is properly restrained by an...Ch. 2 - Pelicans tuck their wings and free-fall straight...Ch. 2 - Suppose a car manufacturer tested its cars for...Ch. 2 - A stone is dropped from the roof of a high...Ch. 2 - A bicyclist in the Tour de France crests a...Ch. 2 - Consider the street pattern shown in Fig. 247....Ch. 2 - In putting, the force with which a golfer strikes...Ch. 2 - A robot used in a pharmacy picks up a medicine...Ch. 2 - A stone is thrown vertically upward with a speed...Ch. 2 - Figure 250 is a position versus time graph for the...Ch. 2 - In the design of a rapid transit system, it is...Ch. 2 - A person jumps off a diving board 4.0 m above the...Ch. 2 - Bill can throw a ball vertically at a speed 1.5...Ch. 2 - Sketch the v vs. t graph for the object whose...Ch. 2 - A person driving her car at 45 km/h approaches an...Ch. 2 - A car is behind a truck going 25 m/s on the...Ch. 2 - Agent Bond is standing on a bridge, 13m above the...Ch. 2 - A police car at rest, passed by a speeder...Ch. 2 - A fast-food restaurant uses a conveyor belt to...Ch. 2 - Two students are asked to find the height of a...Ch. 2 - Figure 252 shows the position vs. time graph for...Ch. 2 - You are traveling at a constant speed vM, and...Ch. 2 - (III) A lifeguard standing at the side of a...
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