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.

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
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Chapter1: A Physics Toolkit
Section1.2: Mathematics And Physics
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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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