Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Textbook Question
Chapter 4, Problem 83GP
Find the launch angle for which the range and maximum height of a projectile are the same.
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What is the optimum angle at which a projectile should be launched in order to cover the maximum distance?
Show that the maximum horizontal distance for a projectile can be attained when the angle is 45 degrees.
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Chapter 4 Solutions
Physics (5th Edition)
Ch. 4.1 - The equations of motion of an object are x = (1...Ch. 4.2 - A sailor drops a pair of binoculars from the crows...Ch. 4.3 - Two objects, A and B, are launched horizontally,...Ch. 4.4 - A projectile is launched and lands at the same...Ch. 4.5 - A baseball player throws a ball to another player...Ch. 4 - What is the acceleration of a projectile when it...Ch. 4 - A projectile is launched with an initial speed of...Ch. 4 - A projectile is launched from level ground. When...Ch. 4 - In a game of baseball a player hits a high fly...Ch. 4 - A projectile is launched with an initial velocity...
Ch. 4 - A projectile is launched from a level surface with...Ch. 4 - Do projectiles for which air resistance is...Ch. 4 - Two projectiles are launched from the same point...Ch. 4 - A child rides on a pony walking with constant...Ch. 4 - Driving down the highway, you find yourself behind...Ch. 4 - A projectile is launched from the origin of a...Ch. 4 - Predict/Explain As you walk briskly down the...Ch. 4 - A sailboat runs before the wind with a constant...Ch. 4 - As you walk to class with a constant speed of 1.75...Ch. 4 - Starting from rest, a car accelerates at 2.0 m/s2...Ch. 4 - Predict/Calculate A particle passes through the...Ch. 4 - A skateboarder travels on a horizontal surface...Ch. 4 - A hot-air balloon is drifting in level flight due...Ch. 4 - An electron in a cathode-ray tube is traveling...Ch. 4 - Two canoeists start paddling at the same time and...Ch. 4 - Predict/Explain Two divers run horizontally off...Ch. 4 - Predict/Explain Two youngsters dive off an...Ch. 4 - An archer shoots an arrow horizontally at a target...Ch. 4 - Victoria Falls The great, gray-green, greasy...Ch. 4 - A diver runs horizontally off the end of a diving...Ch. 4 - An astronaut on the planet Zircon tosses a rock...Ch. 4 - Predict/Calculate Pitchers Mounds Pitchers mounds...Ch. 4 - Playing shortstop, you pick up a ground ball and...Ch. 4 - Predict/Calculate A crow is flying horizontally...Ch. 4 - A mountain climber jumps a 2.8-m-wide crevasse by...Ch. 4 - Predict/Calculate A white-crowned sparrow flying...Ch. 4 - Pumpkin Toss In Denver, children bring their old...Ch. 4 - Fairgoers ride a Ferris wheel with a radius of...Ch. 4 - Predict/Calculate A swimmer runs horizontally off...Ch. 4 - Baseball and the Washington Monument On August 25,...Ch. 4 - A basketball is thrown horizontally with an...Ch. 4 - Predict/Calculate A ball rolls off a table and...Ch. 4 - A certain projectile is launched with an initial...Ch. 4 - Three projectiles (A, B, and C) are launched with...Ch. 4 - Three projectiles (A, B, and C) are launched with...Ch. 4 - A cannonball is launched at an angle above level...Ch. 4 - A second baseman tosses the ball to the first...Ch. 4 - A soccer ball is kicked with a speed of 15.6 m/s...Ch. 4 - In a game of basketball a forward makes a bounce...Ch. 4 - Predict/Calculate Snowballs are thrown with a...Ch. 4 - In Problem 34, find the direction of motion of the...Ch. 4 - A golfer gives a ball a maximum initial speed of...Ch. 4 - What is the highest tree the ball in the previous...Ch. 4 - The hang time of a punt is measured to be 4.50 s....Ch. 4 - In a friendly game of handball, you hit the ball...Ch. 4 - On a hot summer day a young girl swings on a rope...Ch. 4 - A certain projectile is launched with an initial...Ch. 4 - Punkin Chunkin In Dover, Delaware, a...Ch. 4 - A dolphin jumps with an initial velocity of 12.0...Ch. 4 - A player passes a basketball to another player who...Ch. 4 - A golf ball is struck with a five iron on level...Ch. 4 - Predict/Explain You throw a ball into the air with...Ch. 4 - A football quarterback shows off his skill by...Ch. 4 - A clever inventor has created a device that can...Ch. 4 - Predict/Calculate Volcanoes on lo Astronomers have...Ch. 4 - Predict/Calculate A soccer ball is kicked with an...Ch. 4 - A soccer ball is kicked with an initial speed of...Ch. 4 - An archer shoots an arrow over a castle wall by...Ch. 4 - CE Child 1 throws a snowball horizontally from the...Ch. 4 - CE The penguin to the left in the accompanying...Ch. 4 - CE Dolphins may leap from the water just for the...Ch. 4 - CE Predict/Explain A person flips a coin into the...Ch. 4 - CE Predict/Explain Suppose the elevator in the...Ch. 4 - A train moving with constant velocity travels 170...Ch. 4 - A tennis ball is struck in such a way that it...Ch. 4 - A person tosses a ball for her puppy to retrieve....Ch. 4 - An osprey flies horizontally with a constant speed...Ch. 4 - Predict/Calculate A hot-air balloon rises from the...Ch. 4 - In a friendly neighborhood squirt gun contest a...Ch. 4 - BIO Spitting Llamas An agitated llama may spit to...Ch. 4 - A particle leaves the origin with an initial...Ch. 4 - BIO When the dried-up seed pod of a scotch broom...Ch. 4 - Trick Shot In an Internet video an athlete...Ch. 4 - A shot-putter throws the shot with an initial...Ch. 4 - Two marbles are launched at t = 0 in the...Ch. 4 - Rescue Swimmers Coast Guard rescue swimmers are...Ch. 4 - A football player kicks a field goal, launching...Ch. 4 - A ball thrown straight upward returns to its...Ch. 4 - Predict/Calculate To decide who pays for lunch, a...Ch. 4 - Predict/Calculate A cannon is placed at the bottom...Ch. 4 - A golfer hits a shot to an elevated green. The...Ch. 4 - Shot Put Record A mens world record for the shot...Ch. 4 - Referring to Conceptual Example 4-13, suppose the...Ch. 4 - A Lob Pass Versus a Bullet A quarterback can throw...Ch. 4 - For summertime fun, you decide to combine diving...Ch. 4 - Landing on Mars When the twin exploration rovers,...Ch. 4 - Collision Course A useful rule of thumb in...Ch. 4 - As discussed in Example 4-14, the archerfish hunts...Ch. 4 - Find the launch angle for which the range and...Ch. 4 - A mountain climber jumps a crevasse of width W by...Ch. 4 - Landing on a Different Level A projectile fired...Ch. 4 - A mountain climber jumps a crevasse by leaping...Ch. 4 - Projectiles: Coming or Going? Most projectiles...Ch. 4 - Caterpillar Pellets The larvae (caterpillars) of...Ch. 4 - Caterpillar Pellets The larvae (caterpillars) of...Ch. 4 - Caterpillar Pellets The larvae (caterpillars) of...Ch. 4 - Caterpillar Pellets The larvae (caterpillars) of...Ch. 4 - Referring to Example 4-9 (a) At what launch angle...Ch. 4 - Referring to Example 4-9 Suppose that the golf...Ch. 4 - Referring to Example 4-11 Suppose the ball is...Ch. 4 - Predict/Calculate Referring to Example 4-11...
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- Compute for the range of the projectile Given: initial velocity= 15m/s Angle: 0° Please show solutionsarrow_forwardConsider a projectile being launched with an initial speed of 58 m/s at a variety of initial angles. What is the range, in meters, of the projectile if it is launched at an angle of θ1 = 78.3°?arrow_forwardA projectile is fired at an angle with the horizontal. Which is true about the velocity of the projectile at maximum height?arrow_forward
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