Explanation Draw the figure as per given situation as. When the bomb has fallen the vertical distance of 2.15 km , it will also travel some horizontal distance. Refer to the above figure (b), use the Pythagoras theorem for horizontal distance. Write the expression for horizontal distance as. x = ( A C ) 2 − ( A B ) 2 (I) Here, x is horizontal distance, A C is displacement and A B is vertical distance. Write the general expression for horizontal displacement as. x = v i cos θ t (II) Here, x is horizontal displacement, v i cos θ is initial velocity along horizontal and t is time. Rearrange above equation (II) in terms of v i . v i = x cos θ ( t ) Rearrange the equation (II) in terms of t . t = x v i cos θ Write the expression for vertical displacement as y = v i sin θ t − 1 2 g t 2 (III) Here, y is vertical displacement, v i sin θ is initial velocity along vertical and g is acceleration due to gravity. Substitute x cos θ ( t ) for v i and x v i cos θ for t in equation (III). y = x cos θ ( t ) sin θ ( t ) − 1 2 g ( x v i cos θ ) 2 Rearrange and simplify the above equation as. y = x tan θ − g x 2 2 v i 2 cos 2 θ (IV) Substitute tan 2 θ + 1 for 1 cos 2 θ in equation (III). y = x tan θ − g x 2 ( tan 2 θ + 1 ) 2 v i 2 Rearrange the above expression for quadratic equation in terms of tan θ . g x 2 2 v i 2 tan 2 θ − x tan θ + g x 2 2 v i 2 + y = 0 (V) Conclusion: Substitute 3.25 km for A C and 2.15 km for A B in equation (I). x = ( 3

Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)

9th Edition

ISBN: 9781305266292

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Chapter 4, Problem 85CP

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The angle θ.

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Chapter 4, Problem 84CP

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Chapter 4 Solutions

Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)

Ch. 4.1 - Consider the following controls in an automobile...Ch. 4.3 - (i) As a projectile thrown at an upward angle...Ch. 4.3 - Rank the launch angles for the five paths in...Ch. 4.4 - A particle moves in a circular path of radius r...Ch. 4.5 - A particle moves along a path, and its speed...Ch. 4 - Prob. 1OQ Ch. 4 - Entering his dorm room, a student tosses his book...Ch. 4 - A student throws a heavy red ball horizontally...Ch. 4 - Prob. 4OQ Ch. 4 - Does a car moving around a circular track with...

Ch. 4 - An astronaut hits a golf ball on the Moon. Which...Ch. 4 - Prob. 7OQ Ch. 4 - Prob. 8OQ Ch. 4 - A sailor drops a wrench from the top of a...Ch. 4 - A baseball is thrown from the outfield toward the...Ch. 4 - A set of keys on the end of a string is swung...Ch. 4 - A rubber stopper on the end of a string is swung...Ch. 4 - Prob. 13OQ Ch. 4 - A spacecraft drifts through space at a constant...Ch. 4 - Prob. 2CQ Ch. 4 - Prob. 3CQ Ch. 4 - Describe how a driver can steer a car traveling at...Ch. 4 - A projectile is launched at some angle to the...Ch. 4 - Construct motion diagrams showing the velocity and...Ch. 4 - Explain whether or not the following particles...Ch. 4 - Prob. 1P Ch. 4 - When the Sun is directly overhead, a hawk dives...Ch. 4 - Suppose the position vector for a particle is...Ch. 4 - The coordinates of an object moving in the xy...Ch. 4 - Prob. 5P Ch. 4 - Prob. 6P Ch. 4 - The vector position of a particle varies in time...Ch. 4 - It is not possible to see very small objects, such...Ch. 4 - Prob. 9P Ch. 4 - Review. A snowmobile is originally at the point...Ch. 4 - Mayan kings and many school sports teams are named...Ch. 4 - Prob. 12P Ch. 4 - In a local bar, a customer slides an empty beer...Ch. 4 - Prob. 14P Ch. 4 - A projectile is fired in such a way that its...Ch. 4 - Prob. 16P Ch. 4 - Chinook salmon are able to move through water...Ch. 4 - Prob. 18P Ch. 4 - The speed of a projectile when it reaches its...Ch. 4 - Prob. 20P Ch. 4 - A firefighter, a distance d from a burning...Ch. 4 - Prob. 22P Ch. 4 - A placekicker must kick a football from a point...Ch. 4 - A basketball star covers 2.80 m horizontally in a...Ch. 4 - A playground is on the flat roof of a city school,...Ch. 4 - Prob. 26P Ch. 4 - Prob. 27P Ch. 4 - Prob. 28P Ch. 4 - A student stands at the edge of a cliff and throws...Ch. 4 - Prob. 30P Ch. 4 - A boy stands on a diving board and tosses a stone...Ch. 4 - A home run is hit in such a way that the baseball...Ch. 4 - The athlete shown in Figure P4.21 rotates a...Ch. 4 - In Example 4.6, we found the centripetal...Ch. 4 - Prob. 35P Ch. 4 - A tire 0.500 m in radius rotates at a constant...Ch. 4 - Review. The 20-g centrifuge at NASAs Ames Research...Ch. 4 - An athlete swings a ball, connected to the end of...Ch. 4 - The astronaut orbiting the Earth in Figure P4.19...Ch. 4 - Figure P4.40 represents the total acceleration of...Ch. 4 - Prob. 41P Ch. 4 - A ball swings counterclockwise in a vertical...Ch. 4 - (a) Can a particle moving with instantaneous speed...Ch. 4 - The pilot of an airplane notes that the compass...Ch. 4 - Prob. 45P Ch. 4 - Prob. 46P Ch. 4 - A police car traveling at 95.0 km/h is traveling...Ch. 4 - A car travels due east with a speed of 50.0 km/h....Ch. 4 - Prob. 49P Ch. 4 - Prob. 50P Ch. 4 - A river flows with a steady speed v. A student...Ch. 4 - Prob. 52P Ch. 4 - Prob. 53P Ch. 4 - A farm truck moves due east with a constant...Ch. 4 - A ball on the end of a string is whirled around in...Ch. 4 - Prob. 56AP Ch. 4 - Prob. 57AP Ch. 4 - A particle starts from the origin with velocity...Ch. 4 - Prob. 59AP Ch. 4 - Prob. 60AP Ch. 4 - Lisa in her Lamborghini accelerates at...Ch. 4 - A boy throws a stone horizontally from the top of...Ch. 4 - Prob. 63AP Ch. 4 - Prob. 64AP Ch. 4 - Prob. 65AP Ch. 4 - Prob. 66AP Ch. 4 - Why is the following situation impossible? Albert...Ch. 4 - As some molten metal splashes, one droplet flies...Ch. 4 - Prob. 69AP Ch. 4 - A pendulum with a cord of length r = 1.00 m swings...Ch. 4 - Prob. 71AP Ch. 4 - A projectile is launched from the point (x = 0, y...Ch. 4 - A spring cannon is located at the edge of a table...Ch. 4 - An outfielder throws a baseball to his catcher in...Ch. 4 - A World War II bomber flies horizontally over...Ch. 4 - Prob. 76AP Ch. 4 - Prob. 77AP Ch. 4 - Prob. 78AP Ch. 4 - A fisherman sets out upstream on a river. His...Ch. 4 - Prob. 80AP Ch. 4 - A skier leaves the ramp of a ski jump with a...Ch. 4 - Two swimmers, Chris and Sarah, start together at...Ch. 4 - Prob. 83CP Ch. 4 - Prob. 84CP Ch. 4 - Prob. 85CP Ch. 4 - A projectile is fired up an incline (incline angle...Ch. 4 - A fireworks rocket explodes at height h, the peak...Ch. 4 - In the What If? section of Example 4.5, it was...Ch. 4 - Prob. 89CP

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