Find the angle between the velocity and acceleration, Mathematics

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Find the angle between the velocity and acceleration

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.

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Mathematics: Find the angle between the velocity and acceleration

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Mathematics: Find the angle between the velocity and acceleration

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