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 meters per second. If the ball is thrown upward with an initial speed of 25 m/s, determine the time tu from ground to apex and the time to from apex to ground. Take k to be 0.005 m ¹ and assume that g is constant. au=-g-kv² 25 m/s ad=-g+kv²
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.
![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 meters per second. If
the ball is thrown upward with an initial speed of 25 m/s, determine the time to from ground to apex and the time to from apex to
ground. Take k to be 0.005 m-¹ and assume that g is constant.
au=-g-kv²
Answers:
tu =
td =
25 m/s
ad=-g+kv²
S
S
h](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8d5d6cb-94d4-4c4c-87a7-4a343e295456%2Fba6ee2e1-4e5c-41fb-ab0c-789f8777418f%2Fwo2u3rg_processed.png&w=3840&q=75)
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