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dear sir/mam, plz answer the following question....
Asked by | 28 Feb, 2008, 12:42: AM

 Dear sir/mam, plz answer the following question.... a particle moves such that its position vector 'r' at time 't' is given by-       ∧                              ∧    r    = i(3t2+2t)+ j(2t2+4t) determine the magnitude of (i)velocity at t=5sec                                                 (ii)acceleration. (where i and j are unit vectors along X and Y-axis)

The velocity v = (d/dt ) . (i(3t2+2t)+ j(2t2+4t)

which on differentiating, we get,

v = (6t+2)i+(4t+4)j

substituting for t = 5 s

we get,

v=32i+24j  m/s

Do similar thing to find acceleration given by a = (d/dt)v

Regards

Team

TopperLearningSystems

Answered by | 08 Dec, 2017, 03:03: PM

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