Mathematics

Mathematics

Problem

For a particle, displacement varies with time as x=4t2−2t+1x = 4t^{2} - 2t + 1 (metres). Determine the instantaneous velocity at t=3 st = 3\,\text{s}. a) 24 m s−124\,\text{m s}^{-1} b) 22 m s−122\,\text{m s}^{-1} c) 10 m s−110\,\text{m s}^{-1} d) −22 m s−1-22\,\text{m s}^{-1}

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