The position vector r describes the path of an object moving in space. Position Vector Time r(t) = (cos³(t), sin³ (t), 3t) t = n (a) Find the velocity vector, speed, and acceleration vector of the object. v(t) = s(t) = a(t) = (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. V(x) = а(x) =

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A: Approach to solving the question:Please see attached photos for detailed solutions. Thank…

Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

A: Velocity,v(t) = dr/dt Acceleration, a = dv/dt

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