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1. An airplane is flying horizontally with a constant velocity of 200 m/s at an altitude of 5000 m when it releases a package. (a) How long does it take the package to reach the ground? (b) What is the distance between the airplane and the package when the package hits the ground? (c) What is the distance between the airplane and the package's landing spot, as measured along the x direction, when the package is released? Ignore air drag.

1. An airplane is flying horizontally with a constant velocity of 200 m/s at an altitude of 5000 m when it releases a package. (a) How long does it take the package to reach the ground? (b) What is the distance between the airplane and the package when the package hits the ground? (c) What is the distance between the airplane and the package's landing spot, as measured along the x direction, when the package is released? Ignore air drag.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Exercise Set 3 Forces and Motion in Two and Three Dimensions Name: Date: Grade and Section: Score: Answer completely. 1. An airplane is flying horizontally with a constant velocity of 200 m/s at an altitude of 5000 m when it releases a package. (a) How long does it take the package to reach the ground? (b) What is the distance between the airplane and the package when the package hits the ground? (c) What is the distance between the airplane and the package's landing spot, as measured along the x direction, when the package is released? Ignore air drag. 2. A horizontal rifle is fired at a target 50 m away. The bullet falls vertically a distance of 12 cm on the way to the target. (a) What is the speed of the bullet just after it leaves the rifle? (b) What is the speed of the bullet just before it hits the target? 3. A batted baseball is hit with a speed of 45 m/s starting from an initial height of1 m. Find how high the ball travels in two cases: (a) a ball hit directly upward and (b) a ball hit at an angle of 70° with respect to the horizontal. Also find how long the ball stays in the air in each case. 4. A swimmer is able to swim at a speed of 0.90 m/s in still water. (a) How long does it take the swimmer to go a distance of 1500 m in still water? Call this time t,. (b) The swimmer then decides to swim the same distance in a river having a current with a speed of 0.50 m/s. How long does this take if she swims with the current? Call this time t,. (c) How long does it take her to swim the same distance against the current? Call this time t,. (d) Explain why t, - t, is not equal to t,- t,. 5. A bicycle wheel of radius 0.30 m is spinning at a rate of 60 revolutions per minute. (a) What is the centripetal acceleration of a point on the edge of the wheel? (b) What is the period of the wheel's motion?
Transcribed Image Text:Exercise Set 3 Forces and Motion in Two and Three Dimensions Name: Date: Grade and Section: Score: Answer completely. 1. An airplane is flying horizontally with a constant velocity of 200 m/s at an altitude of 5000 m when it releases a package. (a) How long does it take the package to reach the ground? (b) What is the distance between the airplane and the package when the package hits the ground? (c) What is the distance between the airplane and the package's landing spot, as measured along the x direction, when the package is released? Ignore air drag. 2. A horizontal rifle is fired at a target 50 m away. The bullet falls vertically a distance of 12 cm on the way to the target. (a) What is the speed of the bullet just after it leaves the rifle? (b) What is the speed of the bullet just before it hits the target? 3. A batted baseball is hit with a speed of 45 m/s starting from an initial height of1 m. Find how high the ball travels in two cases: (a) a ball hit directly upward and (b) a ball hit at an angle of 70° with respect to the horizontal. Also find how long the ball stays in the air in each case. 4. A swimmer is able to swim at a speed of 0.90 m/s in still water. (a) How long does it take the swimmer to go a distance of 1500 m in still water? Call this time t,. (b) The swimmer then decides to swim the same distance in a river having a current with a speed of 0.50 m/s. How long does this take if she swims with the current? Call this time t,. (c) How long does it take her to swim the same distance against the current? Call this time t,. (d) Explain why t, - t, is not equal to t,- t,. 5. A bicycle wheel of radius 0.30 m is spinning at a rate of 60 revolutions per minute. (a) What is the centripetal acceleration of a point on the edge of the wheel? (b) What is the period of the wheel's motion?
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