A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 49 ft/s. Its height in feet after t seconds is given by y = 49t −25t2 . a.) Find the average velocity for the time period beginning when t0 = 1 second and lasting for the given time. t = .01 sec: t = .005 sec: t = .002 sec : t = .001 sec: b.) Estimate the instanteneous velocity when t = 1.
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.
A ball is thrown into the air by a baby alien on a planet in the
system of Alpha Centauri with a velocity of 49 ft/s. Its height
in feet after t seconds is given by y = 49t −25t2
.
a.) Find the average velocity for the time period beginning
when t0 = 1 second and lasting for the given time.
t = .01 sec:
t = .005 sec:
t = .002 sec :
t = .001 sec:
b.) Estimate the instanteneous velocity when t = 1.
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