College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 3, Problem 46AP
You can use any coordinate system you like to solve a projectile motion problem. To demonstrate the truth of this statement, consider a ball thrown off the top of a building with a velocity
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You can use any coordinate system you like in order to solve a projectile motion problem. To demonstrate the truth of this
statement, consider a ball thrown off the top of a building with a velocity v at an angle 0 with respect to the horizontal. Let the
building be 54.0 m tall, the initial horizontal velocity be 9.10 m/s, and the initial vertical velocity be 10.5 m/s. Choose your
coordinates such that the positive y-axis is upward, and the x-axis is to the right, and the origin is at the point where the ball is
released.
(a) With these choices, find the ball's maximum height above the ground and the time it takes to reach the maximum
height.
maximum height above ground
time to reach maximum height
(b) Repeat your calculations choosing the origin at the base of the building.
maximum height above ground
time to reach maximum height
A small plane is flying horizontally due east in calm air at 150 mi/hr when it is hit by a horizontal crosswind blowing southwest at 30 mi/hr and a 10 mi/hr updraft. Find
the resulting speed of the plane and describe with a sketch the approximate direction of the velocity relative to the ground.
Let the unit vectors i, j, and k point east, north, and upward, respectively. Begin by writing vectors describing the velocity of the plane, the crosswind, and the updraft.
What is the position vector that represents the velocity of the plane relative to the ground?
The vector is (Oi+ (Dj+ (O k.
(Type exact answers, using radicals as needed.)
At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 8.50 yards, back (in the −x-direction), then 15.0 yards parallel to the y-axis (in the −y-direction). He then throws the football straight downfield 55.0 yards in a direction perpendicular to the y-axis (in the +x-direction). What is the magnitude of the displacement (in yards) of the ball?
yards
(b)
What if? The receiver that catches the football travels 64.0 additional yards at an angle of 45.0° counterclockwise from the +x-axis away from the quarterback's position and scores a touchdown. What is the magnitude of the football's total displacement (in yards) from where the quarterback took the ball to the end of the receiver's run?
Chapter 3 Solutions
College Physics
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A...Ch. 3 - A chinook salmon has a maximum underwater speed of...Ch. 3 - A rocket is launched at an angle of 53.0 above the...Ch. 3 - Two canoeists in identical canoes exert the same...Ch. 3 - (a) If a person can jump a maximum horizontal...Ch. 3 - A farm truck travels due east with a constant...Ch. 3 - A home run is hit in such a way that the baseball...Ch. 3 - A ball is thrown straight upward and returns to...Ch. 3 - A quarterback throws a football toward a receiver...Ch. 3 - A 2.00-m-tall basketball player is standing on the...Ch. 3 - In a very popular lecture demonstration, a...Ch. 3 - Figure P3.60 illustrates the difference in...Ch. 3 - By throwing a ball at an angle of 45, a girl can...Ch. 3 - The equation of a parabola is y = ax2 + bx + c,...Ch. 3 - A hunter wishes to cross a river that is 1.5 km...Ch. 3 - When baseball outfielders throw the ball, they...Ch. 3 - A daredevil is shot out of a cannon at 45.0 to the...Ch. 3 - Chinook salmon are able to move upstream faster by...Ch. 3 - A student derides to measure the muzzle velocity...Ch. 3 - A golf ball with an initial speed of 50.0 m/s...Ch. 3 - A landscape architect is planning an artificial...Ch. 3 - One strategy in a snowball fight is to throw a...Ch. 3 - A dart gun is fired while being held horizontally...Ch. 3 - The determined Wile E. 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Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY