A particle moves in space. Its position vector at time t is r(t) ...

[DelorasTo]

A particle moves in space. Its position vector at time t is r(t)  ti  j sin t  k cos t. Find the velocity and acceleration vectors at time t  0.
 
  What will be an ideal response?

Question 2

A particle moves in space. Its path is parametrized by the vector-valued function r(t)  2i cos t  2j sin t  tk. Find the velocity and acceleration vectors.
 
  What will be an ideal response?

[duy1981999]

Answer to Question 1

v(

Answer to Question 2

v(t)  <2 sin t, 2 cos t, 1>
a(t)  <2 cos t, 2 sin t, 0>

[DelorasTo]

Great answer, keep it coming

[xiazhe]

Excellent