When the effect of aerodynamic drag is included, the y-acceleration of a baseball moving vertically upward is au = -g - kv², while the acceleration when the ball is moving downward is ad=-g+kv², where k is a positive constant and v is the speed in feet per second. If the ball is thrown upward at 94 ft/sec from essentially ground level, compute its maximum height h and its speed vf (a positive number) upon impact with the ground. Take k to be 0.0017 ft-¹ and assume that g is constant.

When the effect of aerodynamic drag is included, the y-acceleration of a baseball moving vertically upward is au = -g - kv², while the acceleration when the ball is moving downward is ad=-g+kv², where k is a positive constant and v is the speed in feet per second. If the ball is thrown upward at 94 ft/sec from essentially ground level, compute its maximum height h and its speed vf (a positive number) upon impact with the ground. Take k to be 0.0017 ft-¹ and assume that g is constant.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Question

When the effect of aerodynamic drag is included, the y-acceleration of a baseball moving vertically upward is au = -g - kv², while the
acceleration when the ball is moving downward is ad = -g + kv², where k is a positive constant and v is the speed in feet per second. If
the ball is thrown upward at 94 ft/sec from essentially ground level, compute its maximum height h and its speed vf (a positive number)
upon impact with the ground. Take k to be 0.0017 ft¹ and assume that g is constant.
au=-g-ku²
y
1
194 ft/sec
Answers:
h =
Vf=
i
i
ad=-g+kv2
h
ft
ft/sec

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