SOLVED:(a) Find the position vector of a particle that has the given acceleration and the specified initial velocity and position. (b) Use a computer to graph the path of the particle. 𝐚(t)=2 t 𝐢 sint 𝐣 cos2 t 𝐤, 𝐯(0)=𝐢, 𝐫(0)-𝐣
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SOLVED:The position vector r describes the path of an object moving in the x y -plane. (a) Find the velocity vector, speed, and acceleration vector of the object. (b) Evaluate the velocity vector and acceleration vector of the object at the given point. (c) Sketch a graph of the path, and sketch the velocity and acceleration vectors at the given point. Position Vector Point 𝐫(t)=3 t 𝐢 (t-1) 𝐣 (3,0)
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