A baseball is dropped from an altitude h= 194 ft and is found to be traveling at 91 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 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 = 194 ft, at what speed v₂ would it strike the ground if air resistance were neglected? Answers: The drag coefficient, k= i 0.00343 The terminal velocity. Ve Without drag. 96.9 112 ft/sec ft/sec

A baseball is dropped from an altitude h= 194 ft and is found to be traveling at 91 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 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 = 194 ft, at what speed v₂ would it strike the ground if air resistance were neglected? Answers: The drag coefficient, k= i 0.00343 The terminal velocity. Ve Without drag. 96.9 112 ft/sec ft/sec

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Concept explainers

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

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View Policies
Current Attempt in Progress
A baseball is dropped from an altitude h = 194 ft and is found to be traveling at 91 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 w
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 v₂?
(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 = 194 ft, at what speed v. would it strike the ground if air
resistance were neglected?
Answers:
The drag coefficient, k=
The terminal velocity. v₁ =
Without drag.
0.00343
i 96.9
i 112
ft:1
ft/sec
ft/sec

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