Chapter 11, Problem 43RE

The vector describing a particular particle is given by T(t) = Rcos (wt)î + Rsin (wt) ĵ, where R and w are constants. (a) What is the magnitude of the position, |7|? What is its unit vector, f? (b) What is the velocity, ī, of this particle? What is it's magnitude, |0|? What is its unit vector, î? (c) What is the acceleration, a, of this particle? What is it's magnitude, Jā|? What is its unit vector, â? (d) Show that the acceleration points opposite to the position, ř° (i.e., â x -î), and determine the proportionality constant. |

Calculate the velocity and acceleration vectors, and speed for r(t) = (cos(t), sin(3t) , sin(t)) when t Velocity: Acceleration: Speed: Usage: To enter a vector, for example (x, y, z), type ""

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calculate speed only, the rest are done.

Calc 3

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