Find the particles speed at time t

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Reference no: EM131015735

The vector r(t) = ln (t2 + 1)i + t j + tan-1 t k, -∞ < t < ∞. is the position vector of a particle moving in space.

(a) Find the particle's speed at time t=1.

(b) Find the angle between the velocity and acceleration vectors at time t=1.

(c) At what time(s), if any, are the particle's velocity and acceleration orthogonal?

Reference no: EM131015735

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