For a moving object the rate of increase of kinetic energy with respect to speed is…

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

For a moving object the rate of increase of kinetic energy with respect to speed is

40\,\text{J}\,\text{m}^{-1}\text{s}

when the speed is

5\,\text{m/s}

. (i) Find the mass of the object. (ii) Calculate its kinetic energy when the speed becomes

10\,\text{m/s}