SITUATION 1. 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. a) Determine the time required for the particle to reach a velocity of 72m/s from its initial condition at t = 0. b) Determine the acceleration of the particle when v = 30m/s? c) Determine the net displacement of the particle during the interval from t = 1sec to t = 4sec.

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
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SITUATION 1. 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.
a) Determine the time required for the particle to reach a velocity of 72m/s from its initial condition at t = 0.
b) Determine the acceleration of the particle when v = 30m/s?
c) Determine the net displacement of the particle during the interval from t = 1sec to t = 4sec.
Transcribed Image Text:SITUATION 1. 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. a) Determine the time required for the particle to reach a velocity of 72m/s from its initial condition at t = 0. b) Determine the acceleration of the particle when v = 30m/s? c) Determine the net displacement of the particle during the interval from t = 1sec to t = 4sec.
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