a particle starts at point 50 at t0 and moves along the xaxi

a particle starts at point (5,0) at t=0 and moves along the x-axis in such a way that at time t>0 its velocity is given by v(t)= t/(1+t^2). Determine the maximum velocity attained by the particle

Solution

the answer is:

v\' = [ (1+t2) - t(2t) ]/(1 + t2 )2

v\'(t) = 0

=> t = 1

v(t=1) = 1/2 m/s

so the maximum velocity will be 1/2m/s

a particle starts at point (5,0) at t=0 and moves along the x-axis in such a way that at time t>0 its velocity is given by v(t)= t/(1+t^2). Determine the max

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