The position coordinate of a particle which is confined to move along a straight line is given by s = 2t3 – 24t + 6, where s is measured in meters from a convenient origin and t is in seconds. Determine (a) the time required for the particle to reach a velocity of 72 "/s from its initial condition at t = 0, (b) the acceleration of the particle when v = 30 m/s, and © the net displacement of the particle during the interval t = 1s and t = 4s. (Practice at Home)
The position coordinate of a particle which is confined to move along a straight line is given by s = 2t3 – 24t + 6, where s is measured in meters from a convenient origin and t is in seconds. Determine (a) the time required for the particle to reach a velocity of 72 "/s from its initial condition at t = 0, (b) the acceleration of the particle when v = 30 m/s, and © the net displacement of the particle during the interval t = 1s and t = 4s. (Practice at Home)
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Transcribed Image Text:II. The position coordinate of a
particle which is confined to
move along a straight line is
given by s = 2t3 – 24t + 6,
where s is measured in meters
from a convenient origin and t
is in seconds. Determine (a)
the time required for the
particle to reach a velocity of
72 m/s from its initial condition
at t = 0, (b) the acceleration of
the particle when v = 30 m/s,
and © the net displacement of
the particle during the interval
t = 1s and t = 4s. (Practice at
Home)
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