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The transportation of the cargoes in biological cells is primarily driven bythe motor proteins on filamentous protein tracks. The stochastic nature of themotion of motor protein often leads to its spontaneous detachment from thetrack. Using the available experimental data, we demonstrate a tradeoff betweenthe speed of the motor and its rate of spontaneous detachment from the track.Further, it is also shown that this speed-detachment relation follows a powerlaw where its exponent dictates the nature of the motor protein processivity.We utilize this information to study the motion of motor protein on track usinga random-walk model. We obtain the average distance travelled in fixed durationand average time required for covering a given distance by the motor protein.These analyses reveal non-monotonic dependence of the motor protein speed onits transport and, therefore, optimal motor speeds can be identified for thetime and distance controlled conditions.

Speed-detachment tradeoff and its effect on track bound transport of single motor protein