University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 4, Problem 70P
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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
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Chapter 4 Solutions
University Physics Volume 1
Ch. 4 - Prob. 4.1CYUCh. 4 - Prob. 4.2CYUCh. 4 - Check Your Understanding A rock is thrown...Ch. 4 - Check Your Understanding If the two golf shots in...Ch. 4 - Check Your Understanding A flywheel has a radius...Ch. 4 - Check Your Understanding A boat heads north in...Ch. 4 - What form does the trajectory of a particle have...Ch. 4 - Give an example of a trajectory in two or three...Ch. 4 - If the instantaneous velocity is zero, what can be...Ch. 4 - If the position function of a particle is a linear...
Ch. 4 - If an object has a constant x -component of the...Ch. 4 - If an object has a constant x -component of...Ch. 4 - Answer the following questions for projectile...Ch. 4 - Answer the following questions for projectile...Ch. 4 - A dime is placed at the edge of a table so it...Ch. 4 - Uniform Circular Motion Can centripetal...Ch. 4 - Can tangential acceleration change the speed of a...Ch. 4 - Dimensions What frame or frames of reference do...Ch. 4 - A basketball player dribbling down the court...Ch. 4 - If someone is riding in the back of a pickup thick...Ch. 4 - The hat of a jogger running at constant velocity...Ch. 4 - A clod of dirt falls from the bed of a moving...Ch. 4 - The coordinates of a particle in a rectangular...Ch. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - A bird files straight northeast a distance of 95.0...Ch. 4 - A cyclist rides 5.0 km due east, then 10.0 km 20...Ch. 4 - New York Rangers defenseman Daniel Girardi stands...Ch. 4 - Prob. 23PCh. 4 - Clay Matthews, a linebacker for the Green Bay...Ch. 4 - The F-35B Lighting II is a short-takeoff and...Ch. 4 - Prob. 26PCh. 4 - A particles acceleration is (4.0i+3.0j)m/s2. At...Ch. 4 - Prob. 28PCh. 4 - The position of a particle for t0 is given by...Ch. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - A Lockheed Martin F-35 II lighting jet takes off...Ch. 4 - Projectile Motion A bullet is shot horizontally...Ch. 4 - A marble rolls off a tabletop 1.0 m high and hits...Ch. 4 - A dart is thrown horizontally at a speed of 10 m/s...Ch. 4 - An airplane flying horizontally with a speed of...Ch. 4 - Suppose the airplane in the preceding problem...Ch. 4 - A fastball pitcher can throw a baseball at a speed...Ch. 4 - A projectile is launched at an angle of 30 and...Ch. 4 - A basketball player shoots toward a basket 6.1 m...Ch. 4 - At a particular instant, a hot air balloon is 100...Ch. 4 - A man on a motorcycle traveling at a uniform speed...Ch. 4 - An athlete can jump a distance of 8.0 m in the...Ch. 4 - The maximum horizontal distance a boy can throw a...Ch. 4 - A rock is thrown off a cliff at an angle of 53...Ch. 4 - Trying to escape his pursuers, a secret agent skis...Ch. 4 - A golfer on a fairway is 70 m away from the green,...Ch. 4 - A projectile is shot at a hill, the base of which...Ch. 4 - An astronaut on Mars kicks a soccer ball at an...Ch. 4 - Mike Powell holds the record for the long jump of...Ch. 4 - MIT’s robot cheetah can jump over obstacles 46 cm...Ch. 4 - Mt. Asama, Japan, is an active volcano. In 2009,...Ch. 4 - Drew Brees of the New Orleans Saints can throw a...Ch. 4 - The Lunar Roving Vehicle used In NASA’s late...Ch. 4 - A soccer goal is 2.44 m high. A player kicks the...Ch. 4 - Olympus Mons on Mars is the largest volcano in the...Ch. 4 - In 1999, Robbie Knievel was the first to jump the...Ch. 4 - You throw a baseball at an initial speed of 15.0...Ch. 4 - Aaron Rodgers throws a football at 20.0 m/s to his...Ch. 4 - A flywheel is rotating at 30 rev/s. What is the...Ch. 4 - A particle travels in a circle of radius 10 m at a...Ch. 4 - Cam Newton of the Carolina Panthers throws a...Ch. 4 - A fairground ride spins its occupants inside a...Ch. 4 - A runner taking part in the 200-m dash must run...Ch. 4 - What is the acceleration of Venus toward the Sun,...Ch. 4 - An experimental jet rocket travels around Earth...Ch. 4 - A fan is rotating at a constant 360.0 rev/min....Ch. 4 - A point located on the second hand of a large...Ch. 4 - Prob. 69PCh. 4 - Prob. 70PCh. 4 - Prob. 71PCh. 4 - Raindrops fall vertically at 43 m/s relative to...Ch. 4 - A seagull can fly at a velocity of 9.00 m/s in...Ch. 4 - A ship sets sail from Rotterdam, heading due north...Ch. 4 - A boat can be rowed at 8.0 km/h in still water....Ch. 4 - A small plane flies at 200 km/h in still air. If...Ch. 4 - A cyclist traveling southeast along a road at 15...Ch. 4 - A river is moving east at 4 m/s. A boat starts...Ch. 4 - A Formula One race car is traveling at 89.0 m/s...Ch. 4 - A particle travels m a circular orbit of radius 10...Ch. 4 - The driver of a car moving at 90.0km/h presses...Ch. 4 - A race car entering the curved part of the track...Ch. 4 - An elephant is located on Earth’s surface at a...Ch. 4 - A proton in a synchrotron is moving in a circle of...Ch. 4 - A propeller blade at rest starts to rotate from...Ch. 4 - A particle is executing circular motion with a...Ch. 4 - A particle’s centripetal acceleration is...Ch. 4 - A rod 3.0 m in length is rotating at 2.0 rev/s...Ch. 4 - Prob. 89APCh. 4 - Prob. 90APCh. 4 - Prob. 91APCh. 4 - A crossbow is aimed horizontally at a target 40 m...Ch. 4 - A long jumper can jump a distance of 8.0 m when he...Ch. 4 - On planet Arcon, the maximum horizontal range of a...Ch. 4 - A mountain biker encounters a jump on a race...Ch. 4 - Which has the greater centripetal acceleration, a...Ch. 4 - A geosynchronous satellite orbits Earth at a...Ch. 4 - Two speedboats are traveling at the same speed...Ch. 4 - World’s Longest Par 3. The tee of the world’s...Ch. 4 - When a field goal kicker kicks a football as hard...Ch. 4 - A truck is traveling east at 80 km/h. At an...
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