The gravitational potential energy in a region of space is given by $\mathrm{U}(\mathrm{x},\mathrm{y})=-3{\mathrm{x}}^2\mathrm{y}+\mathrm{xy}$. Find the acceleration of a particle of mass 100g at (1,2)

• A

  $(100\widehat{\mathrm{i}}-20\widehat{\mathrm{j}})\mathrm{m}/{\mathrm{s}}^2$

• B

  $(100\widehat{\mathrm{i}}+10\widehat{\mathrm{j}})\mathrm{m}/{\mathrm{s}}^2$

• C

  $(100\widehat{\mathrm{i}}+20\widehat{\mathrm{j}})\mathrm{m}/{\mathrm{s}}^2$

• D

  zero