A bit P move in a straight line so that at t seconds, that is displacement, s meters from the beginning point is s = t^3 - 7t^2 + 17t. Determine the interval of the time as soon as the particle is relocating at boosting speed.

You are watching: What moves in a straight line For rectilinear motion, ie motion in one measurement that deserve to either be in a confident or negative direction, one important ide is that rate is raising whenever the signs of velocity and also acceleration match.

So v(t) = s"(t) = 3t2 - 14t + 17 the discriminant that this quadratic is

a(t) = v"(t) = 6t - 14. Which is an adverse for t

Speed is boosting for t > 7/3 secs

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