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The Position of a Particle at Time T Is Given

Question 50

Multiple Choice

The position of a particle at time t is given by r = (cos t) i + (sin t) j + t k. Find the speed and the magnitude of the acceleration at any time t. Describe the motion.


A) The position of a particle at time t is given by r = (cos t)  i + (sin t)  j + t k. Find the speed and the magnitude of the acceleration at any time t. Describe the motion. A)    =   ;   =   ; path is a circular helix B)    =   ;   =   ; path is a circle C)    =   ;   = 2; path is a circular helix D)    =   ;   = 1; path is a circular helix E)    =   ;   = 1; path is a circle = The position of a particle at time t is given by r = (cos t)  i + (sin t)  j + t k. Find the speed and the magnitude of the acceleration at any time t. Describe the motion. A)    =   ;   =   ; path is a circular helix B)    =   ;   =   ; path is a circle C)    =   ;   = 2; path is a circular helix D)    =   ;   = 1; path is a circular helix E)    =   ;   = 1; path is a circle ; The position of a particle at time t is given by r = (cos t)  i + (sin t)  j + t k. Find the speed and the magnitude of the acceleration at any time t. Describe the motion. A)    =   ;   =   ; path is a circular helix B)    =   ;   =   ; path is a circle C)    =   ;   = 2; path is a circular helix D)    =   ;   = 1; path is a circular helix E)    =   ;   = 1; path is a circle = The position of a particle at time t is given by r = (cos t)  i + (sin t)  j + t k. Find the speed and the magnitude of the acceleration at any time t. Describe the motion. A)    =   ;   =   ; path is a circular helix B)    =   ;   =   ; path is a circle C)    =   ;   = 2; path is a circular helix D)    =   ;   = 1; path is a circular helix E)    =   ;   = 1; path is a circle ; path is a circular helix
B) The position of a particle at time t is given by r = (cos t)  i + (sin t)  j + t k. Find the speed and the magnitude of the acceleration at any time t. Describe the motion. A)    =   ;   =   ; path is a circular helix B)    =   ;   =   ; path is a circle C)    =   ;   = 2; path is a circular helix D)    =   ;   = 1; path is a circular helix E)    =   ;   = 1; path is a circle = The position of a particle at time t is given by r = (cos t)  i + (sin t)  j + t k. Find the speed and the magnitude of the acceleration at any time t. Describe the motion. A)    =   ;   =   ; path is a circular helix B)    =   ;   =   ; path is a circle C)    =   ;   = 2; path is a circular helix D)    =   ;   = 1; path is a circular helix E)    =   ;   = 1; path is a circle ; The position of a particle at time t is given by r = (cos t)  i + (sin t)  j + t k. Find the speed and the magnitude of the acceleration at any time t. Describe the motion. A)    =   ;   =   ; path is a circular helix B)    =   ;   =   ; path is a circle C)    =   ;   = 2; path is a circular helix D)    =   ;   = 1; path is a circular helix E)    =   ;   = 1; path is a circle = The position of a particle at time t is given by r = (cos t)  i + (sin t)  j + t k. Find the speed and the magnitude of the acceleration at any time t. Describe the motion. A)    =   ;   =   ; path is a circular helix B)    =   ;   =   ; path is a circle C)    =   ;   = 2; path is a circular helix D)    =   ;   = 1; path is a circular helix E)    =   ;   = 1; path is a circle ; path is a circle
C) The position of a particle at time t is given by r = (cos t)  i + (sin t)  j + t k. Find the speed and the magnitude of the acceleration at any time t. Describe the motion. A)    =   ;   =   ; path is a circular helix B)    =   ;   =   ; path is a circle C)    =   ;   = 2; path is a circular helix D)    =   ;   = 1; path is a circular helix E)    =   ;   = 1; path is a circle = The position of a particle at time t is given by r = (cos t)  i + (sin t)  j + t k. Find the speed and the magnitude of the acceleration at any time t. Describe the motion. A)    =   ;   =   ; path is a circular helix B)    =   ;   =   ; path is a circle C)    =   ;   = 2; path is a circular helix D)    =   ;   = 1; path is a circular helix E)    =   ;   = 1; path is a circle ; The position of a particle at time t is given by r = (cos t)  i + (sin t)  j + t k. Find the speed and the magnitude of the acceleration at any time t. Describe the motion. A)    =   ;   =   ; path is a circular helix B)    =   ;   =   ; path is a circle C)    =   ;   = 2; path is a circular helix D)    =   ;   = 1; path is a circular helix E)    =   ;   = 1; path is a circle = 2; path is a circular helix
D) The position of a particle at time t is given by r = (cos t)  i + (sin t)  j + t k. Find the speed and the magnitude of the acceleration at any time t. Describe the motion. A)    =   ;   =   ; path is a circular helix B)    =   ;   =   ; path is a circle C)    =   ;   = 2; path is a circular helix D)    =   ;   = 1; path is a circular helix E)    =   ;   = 1; path is a circle = The position of a particle at time t is given by r = (cos t)  i + (sin t)  j + t k. Find the speed and the magnitude of the acceleration at any time t. Describe the motion. A)    =   ;   =   ; path is a circular helix B)    =   ;   =   ; path is a circle C)    =   ;   = 2; path is a circular helix D)    =   ;   = 1; path is a circular helix E)    =   ;   = 1; path is a circle ; The position of a particle at time t is given by r = (cos t)  i + (sin t)  j + t k. Find the speed and the magnitude of the acceleration at any time t. Describe the motion. A)    =   ;   =   ; path is a circular helix B)    =   ;   =   ; path is a circle C)    =   ;   = 2; path is a circular helix D)    =   ;   = 1; path is a circular helix E)    =   ;   = 1; path is a circle = 1; path is a circular helix
E) The position of a particle at time t is given by r = (cos t)  i + (sin t)  j + t k. Find the speed and the magnitude of the acceleration at any time t. Describe the motion. A)    =   ;   =   ; path is a circular helix B)    =   ;   =   ; path is a circle C)    =   ;   = 2; path is a circular helix D)    =   ;   = 1; path is a circular helix E)    =   ;   = 1; path is a circle = The position of a particle at time t is given by r = (cos t)  i + (sin t)  j + t k. Find the speed and the magnitude of the acceleration at any time t. Describe the motion. A)    =   ;   =   ; path is a circular helix B)    =   ;   =   ; path is a circle C)    =   ;   = 2; path is a circular helix D)    =   ;   = 1; path is a circular helix E)    =   ;   = 1; path is a circle ; The position of a particle at time t is given by r = (cos t)  i + (sin t)  j + t k. Find the speed and the magnitude of the acceleration at any time t. Describe the motion. A)    =   ;   =   ; path is a circular helix B)    =   ;   =   ; path is a circle C)    =   ;   = 2; path is a circular helix D)    =   ;   = 1; path is a circular helix E)    =   ;   = 1; path is a circle = 1; path is a circle

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