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

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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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