PhysicsEasy70×since 2002Q8608An automobile of mass 'm' accelerates starting from origin and initially at rest, while the engine supplies constant power P. The position is given as a function of time by :A(9P8m)12t32{\left( {{{9P} \over {8m}}} \right)^{{1 \over 2}}}{t^{{3 \over 2}}}(8m9P)21t23B(8P9m)12t23{\left( {{{8P} \over {9m}}} \right)^{{1 \over 2}}}{t^{{2 \over 3}}}(9m8P)21t32C(9m8P)12t32{\left( {{{9m} \over {8P}}} \right)^{{1 \over 2}}}{t^{{3 \over 2}}}(8P9m)21t23D(8P9m)12t32{\left( {{{8P} \over {9m}}} \right)^{{1 \over 2}}}{t^{{3 \over 2}}}(9m8P)21t23Check answerSkip