A particle moves along xy-plane with a position of x (t) = sin(2t) + 3 cos(4t) y (t) = 1/2 sin(t) – 6 cos(3t)   a. Determine the position vector of the particle when t = 4s. b. Determine the average acceleration from t = 0s to t= 5s. c. Determine the instantaneous acceleration when t= 1s. d. Determine the average velocity from t= 1s to t= 3s.

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter3: Vectors And Two-Dimensional Motion
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A particle moves along xy-plane with a position of

x (t) = sin(2t) + 3 cos(4t)

y (t) = 1/2 sin(t) – 6 cos(3t)

 

a. Determine the position vector of the particle when t = 4s.

b. Determine the average acceleration from t = 0s to t= 5s.

c. Determine the instantaneous acceleration when t= 1s.

d. Determine the average velocity from t= 1s to t= 3s.

 

 

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