The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r(t) = (2e, 6e) (2,6) (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) = s(t) = a(t) = (b) Evaluate the velocity vector and acceleration vector of the object at the given point. v(0) = a(0) =

cor At time t=0, a particle is located at the point (1,9,3). It travels in a straight line to the point (8,6,5), has speed 5 at (1,9,3) and constant acceleration 7i-3j+2k. Find an equation for the position vector r(t) of the particle at time t ... The equation for the position vector r(t) of the particle at time t is r(t) = (i+Oj+ k (Type exact answers, using radicals as needed.) ing 2023) is based on Thomas' Calculus Early Transcendentals, 15e Clear all Check answer

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Can you explain this question? The answer shown is correct, but I don't understand why we take the derivative to get the velocity.