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 11P
In a 5.00 km race, one runner runs at a steady 12.0 km/h and another runs at 14.5 km/h. How long does the faster runner have to wait at the finish line to see the slower runner cross?
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Part C
Find the height yi
from which the rock was launched.
Express your answer in meters to three significant figures.
Learning Goal:
To practice Problem-Solving Strategy 4.1 for projectile motion problems.
A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 19.0 m before hitting the ground. From what height was the rock thrown? Use the value g = 9.800 m/s2 for the free-fall acceleration.
PROBLEM-SOLVING STRATEGY 4.1 Projectile motion problems
MODEL: Is it reasonable to ignore air resistance? If so, use the projectile motion model.
VISUALIZE: Establish a coordinate system with the x-axis horizontal and the y-axis vertical. Define symbols and identify what the problem is trying to find. For a launch at angle θ, the initial velocity components are vix=v0cosθ and viy=v0sinθ.
SOLVE: The acceleration is known: ax=0 and ay=−g. Thus, the problem becomes one of…
Phys 25
Chapter 2 Solutions
College Physics: A Strategic Approach (3rd Edition)
Ch. 2 - A person gets in an elevator on the ground floor...Ch. 2 - a. Give an example of a vertical motion with a...Ch. 2 - Figure Q2.3 shows growth rings in the trunk of a...Ch. 2 - Sketch a velocity-versus-time graph for a rock...Ch. 2 - You are driving down the road at a constant speed....Ch. 2 - A car is traveling north. Can its acceleration...Ch. 2 - A ball is thrown straight up into the air. At each...Ch. 2 - A rock is thrown (not dropped) straight down from...Ch. 2 - Figure Q2.10 shows an object's...Ch. 2 - Figure Q2.11 shows the position graph for an...
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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