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A baseball is dropped from an altitude h = 196 ft and is found to be traveling at 92 ft/sec when it strikes the ground. In addition to gravitational acceleration, which may be assumed constant, air resistance causes a deceleration component of magnitude kv², where v is the speed and k is a constant. Determine the value of the coefficient k. Plot the speed of the baseball as a function of altitude y. If the baseball were dropped from a high altitude, but one at which g may still be assumed constant, what would be the terminal velocity v? (The terminal velocity is that speed at which the acceleration of gravity and that due to air resistance are equal and opposite, so that the baseball drops at a constant speed.) If the baseball were dropped from h = 196 ft, at what speed vg would it strike the ground if air resistance were neglected? Vg Answers: The drag coefficient, k= i The terminal velocity, Vt= Without drag, i i ft-1 ft/sec ft/sec

A baseball is dropped from an altitude h = 196 ft and is found to be traveling at 92 ft/sec when it strikes the ground. In addition to gravitational acceleration, which may be assumed constant, air resistance causes a deceleration component of magnitude kv², where v is the speed and k is a constant. Determine the value of the coefficient k. Plot the speed of the baseball as a function of altitude y. If the baseball were dropped from a high altitude, but one at which g may still be assumed constant, what would be the terminal velocity v? (The terminal velocity is that speed at which the acceleration of gravity and that due to air resistance are equal and opposite, so that the baseball drops at a constant speed.) If the baseball were dropped from h = 196 ft, at what speed vg would it strike the ground if air resistance were neglected? Vg Answers: The drag coefficient, k= i The terminal velocity, Vt= Without drag, i i ft-1 ft/sec ft/sec

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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A baseball is dropped from an altitude h = 196 ft and is found to be traveling at 92 ft/sec when it strikes the ground. In addition to gravitational acceleration, which may be assumed constant, air resistance causes a deceleration component of magnitude kv², where v is the speed and k is a constant. Determine the value of the coefficient k. Plot the speed of the baseball as a function of altitude y. If the baseball were dropped from a high altitude, but one at which g may still be assumed constant, what would be the terminal velocity vt? (The terminal velocity is that speed at which the acceleration of gravity and that due to air resistance are equal and opposite, so that the baseball drops at a constant speed.) If the baseball were dropped from h = 196 ft, at what speed vg would it strike the ground if air resistance were neglected? Answers: The drag coefficient, k= The terminal velocity, Vt= Without drag, i i i ft-1 ft/sec ft/sec
Transcribed Image Text:A baseball is dropped from an altitude h = 196 ft and is found to be traveling at 92 ft/sec when it strikes the ground. In addition to gravitational acceleration, which may be assumed constant, air resistance causes a deceleration component of magnitude kv², where v is the speed and k is a constant. Determine the value of the coefficient k. Plot the speed of the baseball as a function of altitude y. If the baseball were dropped from a high altitude, but one at which g may still be assumed constant, what would be the terminal velocity vt? (The terminal velocity is that speed at which the acceleration of gravity and that due to air resistance are equal and opposite, so that the baseball drops at a constant speed.) If the baseball were dropped from h = 196 ft, at what speed vg would it strike the ground if air resistance were neglected? Answers: The drag coefficient, k= The terminal velocity, Vt= Without drag, i i i ft-1 ft/sec ft/sec
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