Work done in time t on a body of mass m which is accelerated from rest to a speed y in time t₁  as a function of time t is given by

• A

  $\frac{1}{2}\mathrm{m}\frac{\mathrm{V}}{{\mathrm{t}}_1}{\mathrm{t}}^2$

• B

  $\mathrm{m}\frac{\mathrm{V}}{{\mathrm{t}}_1}{\mathrm{t}}^2$

• C

  $\frac{1}{2}{\left(\frac{\mathrm{mv}}{{\mathrm{t}}_1}\right)}^2{\mathrm{t}}^2$

• D

  $\frac{1}{2}\mathrm{m}\frac{{\mathrm{v}}^2}{{\mathrm{t}}_1^2}{\mathrm{t}}^2$