# 372048719-Calculus-notes-Rectilinear-motion-doc.doc -...

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Calculus notes – Rectilinear Motion Name: _______________________ Rectilinear motion – object moving in either direction along a coordinate line (x-axis, y-axis, or an axis that is inclined at some angle) Position – s(t) Velocity – the rate at which the coordinate of a particle changes with time and in what direction Acceleration – the rate at which the velocity of a particle changes with time v(t) = s’(t) = ds/dt a(t) = v’(t) = dv/dt = s”(t) = d 2 s/dt 2 When s(t) > 0, the particle is on the positive side of the s- axis When s(t) < 0, the particle is on the negative side of the s- axis When s(t) is increasing, the particle moves in the positive direction When s(t) is decreasing, the particle moves in the negative direction. When s(t) is concave up, the acceleration is positive. When s(t) is concave down, the acceleration is negative When v(t) > 0, s(t) is increasing, the particle moves in the positive direction. When v(t) < 0, s(t) is decreasing, the particle moves in the negative direction. When v(t) = 0, the particle is