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Main Menu Course ContentsI Course Contents» »Hw4 Notes " Bookmark (8c4p11) A particle moves so that its position as a function of time in SI units is r = i + (8.0) tj + t k. write expressions for its velocity and its acceleration as functions of time. Evaluate for t = 4.1 s. i-component of velocity? Evaluate @Communicate Print e, Info Submit AnswerTries 0/12 -component of velocity? Submit Answer Tries 0/12 k-component of velocity? Submit Answer Tries 0/12 i-component of acceleration? j-component of acceleration? Submit AnswrTries 0/12 k-component of acceleration? Post Discussion Send Feedback

Explanation / Answer

Given that,

r = i + 8t^2 j + t k

t = 4.1 s

velocity vector, v = dr / dt

v = d( i + 8t^2 j + t k ) / dt

v = 0 + 16t j + k

i component of velocity = 0

j component = 16*4.1 = 65.6 m/s

k component = 1 m/s

Acceleration of particle,

a = dv / dt

a = d (16t j + k) / dt

a = 16 j

i component of acceleration = 0

j component = 16 m/s^2

k component = 0

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