Question: The position vector of a particle at time t 0 is r(t) = (cos t + t sin t)i + (sin t - t

The position vector of a particle at time t ≥ 0 is
r(t) = (cos t + t sin t)i + (sin t - t cos t)j
a. Show that the speed ds/dt = t.
b. Show that aT = 1 and aN = 1.

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