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The position vector F(t) of a moving particle at time t[s] is given by F(t)= e^t...

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Physics

The position vector F(t) of a moving particle at time t[s] isgiven by F(t)= e^t sin(t)i-j+e^t cos(t)k a) Calculate theacceleration a(t). b) Find the distance traveled by the particle attime t = 3π/2, if the particle starts its motion at time t = π/2.c) Find the unit tangent vector of this particle at time t = 3π/2.d) Find the curvature of the path of this particle at time t =3π/2.

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