In an arcade video game, a spot is programmed to move across the screen according to x = 9.00t - 0.750t3, where x is distance in centimeters measured from the left edge of the screen and t is time in seconds.When the spot reaches a screen edge, at either x = 0 or x = 15.0 cm, t is reset to 0 and the spot starts moving again according to x(t). (a) At what time after starting is the spot instantaneously at rest? (b) At what value of x does this occur? (c) What is the spot’s acceleration (including sign) when this occurs? (d) Is it moving right or left just prior to coming to rest? (e) Just after? (f) At what time t > 0 does it first reach an edge of the screen?
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.
In an arcade video game, a spot is programmed to move
across the screen according to x = 9.00t - 0.750t3, where x is distance
in centimeters measured from the left edge of the screen and
t is time in seconds.When the spot reaches a screen edge, at either
x = 0 or x = 15.0 cm, t is reset to 0 and the spot starts moving again
according to x(t). (a) At what time after starting is the spot instantaneously
at rest? (b) At what value of x does this occur? (c) What
is the spot’s acceleration (including sign) when this occurs? (d)
Is it moving right or left just prior to coming to rest? (e) Just after?
(f) At what time t > 0 does it first reach an edge of the screen?
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