Evaluate the velocity vector at a particular point

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Reference no: EM1318448

Find the velocity vector at a particular point, vector projection of acceleration and the length of the curve between two points.

Suppose a particle is moving along a three dimentional path and that its coordinates after t seconds are given by the parametric equations:

X = e^t y = 2√2e^t/2 z = t

a) At t = 1, the particle is located at (e,2√2e,1). Find the velocity vector at this point.

b) Find the vector projection of the acceleration vector in the direction of the velocity vector at t = 1

c) Find the length of the curve between t = 0 and t = 1.

Reference no: EM1318448

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