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Monday, September 14, 2015

acceleration, velocity and position formulas

Starting from rest, a particle moving in a straight line has an acceleration of a=(2t−6) m/s2, where t is in seconds. What is the particle's velocity when t = 7 s ? Express your answer to three significant figures and include the appropriate units. v is simply the integral with respect to time of a v = t2-6t and you plug in 7 for the time and you get v(7)=7 m/s What is the particle's position when t = 13 s ? Express your answer to three significant figures and include the appropriate units. The position is the integral with respect to time of the velocity s = t3/3 -3t2 and you plug in the 13 for the t to get the answer s(13)=225 m

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