College Physics (Instructor's)
11th Edition
ISBN: 9781305965317
Author: SERWAY
Publisher: CENGAGE L
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Chapter 3, Problem 34AP
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 9.50 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 60.0 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?
What if? The receiver that catches the football travels 60.0 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 (Instructor's)
Ch. 3.1 - Which of the following objects cant be...Ch. 3.1 - Consider the following controls in an automobile:...Ch. 3.1 - A girl on a bicycle takes 15.0 s to ride half way...Ch. 3.1 - Suppose you are carrying a ball and running at...Ch. 3.1 - As a projectile moves in its parabolic path, where...Ch. 3 - As a projectile moves in its path, is there any...Ch. 3 - Construct motion diagrams showing the velocity and...Ch. 3 - Explain whether the following particles do or do...Ch. 3 - A ball is projected horizontally from the top of a...Ch. 3 - A projectile is launched with speed v0 at an angle...
Ch. 3 - Determine which of the following moving objects...Ch. 3 - Two projectiles are thrown with the same initial...Ch. 3 - A ball is thrown upward in the air by a passenger...Ch. 3 - A projectile is launched at some angle to the...Ch. 3 - A baseball is thrown from the outfield toward the...Ch. 3 - A student throws a heavy red ball horizontally...Ch. 3 - A boat is heading due east at speed v when...Ch. 3 - As an apple tree is transported by a truck moving...Ch. 3 - An airplane in a holding pattern flies at constant...Ch. 3 - A hiker walks 2.00 km north and then 3.00 km east,...Ch. 3 - A miniature quadcopter is located at xi = 2.00 m...Ch. 3 - An ant crawls on the floor along the curved path...Ch. 3 - Explain whether the following particles do or do...Ch. 3 - A rabbit is moving in the positive x-direction at...Ch. 3 - A student stands at the edge of a cliff and throws...Ch. 3 - One of the fastest recorded pitches in major...Ch. 3 - The best leaper in the animal kingdom is the puma,...Ch. 3 - A rock is thrown upward from the level ground in...Ch. 3 - A placekicker must kick a football from a point...Ch. 3 - The record distance in the sport of throwing...Ch. 3 - A brick is thrown upward from the top of a...Ch. 3 - From the window of a building, a ball is tossed...Ch. 3 - A car is parked on a cliff overlooking the ocean...Ch. 3 - An artillery shell is fired with an initial...Ch. 3 - A projectile is launched with an initial speed of...Ch. 3 - A fireman d = 50.0 m away from a burning building...Ch. 3 - A playground is on the flat roof of a city school,...Ch. 3 - A cruise ship sails due north at 4.50 m/s while a...Ch. 3 - Suppose a boat moves at 12.0 m/s relative to the...Ch. 3 - A car travels due east with a speed of 50.0 km/h....Ch. 3 - A jet airliner moving initially at 3.00 102 mi/h...Ch. 3 - A Coast Guard cutter detects an unidentified ship...Ch. 3 - A bolt drops from the ceiling of a moving train...Ch. 3 - An airplane maintains a speed of 630 km/h relative...Ch. 3 - Suppose a chinook salmon needs to jump a waterfall...Ch. 3 - An airplane maintains a speed of 630 km/h relative...Ch. 3 - A river has a steady speed of 0.500 m/s. A student...Ch. 3 - This is a symbolic version of Problem 29. A river...Ch. 3 - How long does it take ail automobile traveling in...Ch. 3 - A moving walkway at an airport has a speed v1 and...Ch. 3 - A boy throws a baseball onto a roof and it rolls...Ch. 3 - You can use any coordinate system you like to...Ch. 3 - Towns A and B in Figure P3.35 are 80.0 km apart. A...Ch. 3 - In a local diner, a customer slides an empty...Ch. 3 - A father demonstrates projectile motion to his...Ch. 3 - Two canoeists in identical canoes exert the same...Ch. 3 - A rocket is launched at an angle of 53.0 above the...Ch. 3 - A farm truck travels due east with a constant...Ch. 3 - (a) If a person can jump a maximum horizontal...Ch. 3 - A ball is thrown straight upward and returns to...Ch. 3 - A home run is hit in such a way that the baseball...Ch. 3 - A 2.00-m-tall basketball player is standing on the...Ch. 3 - A quarterback throws a football toward a receiver...Ch. 3 - The x- and y-coordinates of a projectile launched...Ch. 3 - Spitting cobras can defend themselves by squeezing...Ch. 3 - When baseball outfielders throw the ball, they...Ch. 3 - A hunter wishes to cross a river that is 1.5 km...Ch. 3 - Chinook salmon are able to move upstream faster by...Ch. 3 - A daredevil is shot out of a cannon at 45.0 to the...Ch. 3 - If raindrops are falling vertically at 7.50 m/s,...Ch. 3 - A celebrated Mark Twain story has motivated...Ch. 3 - A landscape architect is planning an artificial...Ch. 3 - A golf ball with an initial speed of 50.0 m/s...Ch. 3 - Antlion larvae lie in wait for prey at the bottom...Ch. 3 - One strategy in a snowball fight is to throw a...Ch. 3 - A football receiver running straight downfield at...Ch. 3 - The determined Wile E. Coyote is out once more to...
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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