College Physics: A Strategic Approach (3rd Edition)
College Physics: A Strategic Approach (3rd Edition)
3rd Edition
ISBN: 9780321879721
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter 2, Problem 73GP

We've seen that a man's higher initial acceleration means that a man can outrun a horse over a very short race. A simple—but plausible—model for a sprint by a man and a horse uses the following assumptions: The man accelerates at 6.0 m/s2 for 1.8 s and then runs at a constant speed. A horse accelerates at a more modest 5.0 m/s2 but continues accelerating for 4.8 s and then continues at a constant speed. A man and a horse are competing in a 200 m race. The man is given a 100 m head start, so he begins 100 m from the finish line. How much time does the man take to complete the race? How much time does the horse take? Who wins the race?

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One simple model for a person running the 100 m dash is to assume the sprinter runs with constant acceleration until reaching top speed, then maintains that speed through the finish line. If a sprinter reaches his top speed of 11.5 m/s in 2.24 s , what will be his total time? Express your answer in seconds.
Ben Torres decides to run a race against... well... himself. It's COVID world, so things are different. Anyways, he wants to run a 100 m dash. He starts from rest and accelerates at a rate of 3.4 m/s2 while covering a total of 11 m.a) How fast is he going after he runs the first 11 m?b) How long does it take him to run the first 11 m?
From rest, the cheetah can accelerate at 8.8 m/s2 and reach a top speed of 30 m/s (108 km/h)! It can maintain this maximum speed over a distance of about 400 meters before it needs to stop.On the other hand, the Thomson’s gazelle has a top speed of 70 km/h, which is less than the cheetah’s, but it can maintain this top speed for a while as well. From rest, the gazelle can accelerate at 4.5 m/s2 to reach its top speed. When a cheetah goes after a gazelle, success or failure is a simple matter of kinematics: you will determine if the cheetah’s high speed is enough to allow it to reach its prey before it runs out of steam (or time).You will apply basic kinematics and simple assumptions to determine how a chase can play out. Q2. In the elapsed time that the cheetah started and must stop, what distance can the gazelle cover?   (again clearly show your calculations)     Why is the 70 multiplied by 5/18?

Chapter 2 Solutions

College Physics: A Strategic Approach (3rd Edition)

Ch. 2 - Figure Q2.12 shows the position-versus-time graphs...Ch. 2 - Figure Q2.13 shows a position-versus-time graph....Ch. 2 - Figure Q2.14 is the velocity-versus-time graph for...Ch. 2 - Figure Q2.15 shows the position graph of a car...Ch. 2 - Figure Q2.16 shows the position graph of a car...Ch. 2 - Figure Q2.17 shows an object's...Ch. 2 - The following options describe the motion of four...Ch. 2 - A car is traveling at Vx = 20 m/s. The driver...Ch. 2 - Velocity-versus-time graphs for three drag racers...Ch. 2 - Which of the three drag racers in Question 20 had...Ch. 2 - Chris is holding two softballs while standing on a...Ch. 2 - Suppose a plane accelerates from rest for 30 s,...Ch. 2 - Figure Q2.24 shows a motion diagram with the clock...Ch. 2 - A car can go from 0 to 60 mph in 7.0 s. Assuming...Ch. 2 - A car can go from 0 to 60 mph in 12 s. A second...Ch. 2 - Figure P2.1 shows a motion diagram of a car...Ch. 2 - For each motion diagram in Figure P2.2, determine...Ch. 2 - The position graph of Figure P2.3 shows a dog...Ch. 2 - A rural mail carrier is driving slowly, putting...Ch. 2 - For the velocity-versus-time graph of Figure P2.5:...Ch. 2 - A bicyclist has the position-versus-time graph...Ch. 2 - In major league baseball, the pitcher's mound is...Ch. 2 - In college softball, the distance from the...Ch. 2 - Alan leaves Los Angeles at 8:00am to drive to San...Ch. 2 - Richard is driving home to visit his parents. 125...Ch. 2 - In a 5.00 km race, one runner runs at a steady...Ch. 2 - In an 8.00 km race, one runner runs at a steady...Ch. 2 - A car moves with constant velocity along a...Ch. 2 - While running a marathon, a long-distance runner...Ch. 2 - Figure P2.1 shows the position graph of a...Ch. 2 - A somewhat idealized graph of the speed of the...Ch. 2 - A car starts from Xi = 10 m at ti = 0 s and moves...Ch. 2 - Figure P2.18 shows a graph of actual...Ch. 2 - Figure P2.19 shows the velocity graph of a...Ch. 2 - We set the origin of a coordinate system so that...Ch. 2 - For each motion diagram shown earlier in Figure...Ch. 2 - Figure P2.16 showed data for the speed of blood in...Ch. 2 - Figure P2.23 is a somewhat simplified velocity...Ch. 2 - Small frogs that are good jumpers are capable of...Ch. 2 - A Thomson's gazelle can reach a speed of 13 m/s in...Ch. 2 - When striking, the pike, a predatory fish, can...Ch. 2 - a. What constant acceleration, in SI units, must a...Ch. 2 - When jumping, a flea rapidly extends its legs,...Ch. 2 - A car traveling at speed v takes distance d to...Ch. 2 - Light-rail passenger trains that provide...Ch. 2 - A cross-country skier is skiing along at a zippy...Ch. 2 - A small propeller airplane can comfortably achieve...Ch. 2 - Formula One racers speed up much more quickly than...Ch. 2 - Figure P2.34 shows a velocity-versus-time graph...Ch. 2 - A driver has a reaction time of 0.50 s, and the...Ch. 2 - Chameleons catch insects with their tongues, which...Ch. 2 - You're driving down the highway late one night at...Ch. 2 - A light-rail train going from one station to the...Ch. 2 - A car is traveling at a steady 80 km/h in a 50...Ch. 2 - When a jet lands on an aircraft carrier, a hook on...Ch. 2 - A simple model for a person running the 100m dash...Ch. 2 - Ball bearings can be made by letting spherical...Ch. 2 - Here's an interesting challenge you can give to a...Ch. 2 - In the preceding problem we saw that a person's...Ch. 2 - A gannet is a seabird that fishes by diving from a...Ch. 2 - A student at the top of a building of height h...Ch. 2 - Excellent human jumpers can leap straight up to a...Ch. 2 - A football is kicked straight up into the air; it...Ch. 2 - In an action movie, the villain is rescued from...Ch. 2 - Spud Webb was, at 5 ft 8 in, one of the shortest...Ch. 2 - A rock climber stands on top of a 50-m-high cliff...Ch. 2 - Actual velocity data for a lion pursuing prey are...Ch. 2 - A truck driver has a shipment of apples to deliver...Ch. 2 - When you sneeze, the air in your lungs accelerates...Ch. 2 - Figure P2.55 shows the motion diagram, made at two...Ch. 2 - Julie drives 100 mi to Grandmother's house. On the...Ch. 2 - The takeoff speed for an Airbus A320 jetliner is...Ch. 2 - Does a real automobile have constant acceleration?...Ch. 2 - People hoping to travel to other worlds are faced...Ch. 2 - You are driving to the grocery store at 20 m/s....Ch. 2 - When you blink your eye, the upper lid goes from...Ch. 2 - A bush baby, an African primate, is capable of a...Ch. 2 - When jumping, a flea reaches a takeoff speed of...Ch. 2 - Certain insects can achieve seemingly impossible...Ch. 2 - A student standing on the ground throws a ball...Ch. 2 - A rock is tossed straight up with a speed of 20...Ch. 2 - A 200 kg weather rocket is loaded with 100 kg of...Ch. 2 - A hotel elevator ascends 200m with a maximum speed...Ch. 2 - A car starts from rest at a stop sign. It...Ch. 2 - A toy train is pushed forward and released at xi =...Ch. 2 - Heather and Jerry are standing on a bridge 50 m...Ch. 2 - A Thomson's gazelle can run at very high speeds,...Ch. 2 - We've seen that a man's higher initial...Ch. 2 - A pole-vaulter is nearly motionless as he clears...Ch. 2 - A Porsche challenges a Honda to a 400 m race....Ch. 2 - The minimum stopping distance for a car traveling...Ch. 2 - A rocket is launched straight up with constant...Ch. 2 - Free Fall on Different Worlds Objects in free fall...Ch. 2 - Free Fall on Different Worlds Objects in free fall...Ch. 2 - Free Fall on Different Worlds Objects in free fall...

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Position/Velocity/Acceleration Part 1: Definitions; Author: Professor Dave explains;https://www.youtube.com/watch?v=4dCrkp8qgLU;License: Standard YouTube License, CC-BY