The motion of a vibrating particle is defined by the position vector r = 10(1 − e−3t)i + (4e−2tsin 15t)j, where r and t are expressed in millimeters and seconds, respectively. Determine the velocity and acceleration when t = 0.5 s.  When t = 0.5 s, the velocity is  ____mm/s ∡ 36.2° and the acceleration is ____mm/s2  ⦫ ____ °.

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The motion of a vibrating particle is defined by the position vector r = 10(1 − e−3t)i + (4e−2tsin 15t)j, where r and t are expressed in millimeters and seconds, respectively.

Determine the velocity and acceleration when t = 0.5 s. 

When t = 0.5 s, the velocity is  ____mm/s ∡ 36.2° and the acceleration is ____mm/s2  ⦫ ____ °.

 
 
 
 
 
 
 
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