A force $\overrightarrow{\mathrm{F}}=a \hat{i}+b \hat{\mathrm{j}}+c \hat{k}$ is acting on a body of mass $m$. The body was initially at rest at the origin. The co-ordinates of the body after time ' t ' will be

• Correct answer
  A

  $\frac{\mathrm{at}^2}{2 \mathrm{~m}}, \frac{\mathrm{bt}^2}{2 \mathrm{~m}}, \frac{\mathrm{ct}^2}{2 \mathrm{~m}}$
• B

  $\frac{\mathrm{at}^2}{2 \mathrm{~m}}, \frac{\mathrm{bt}{ }^2}{\mathrm{~m}}, \frac{\mathrm{ct}^2}{2 \mathrm{~m}}$
• C

  $\frac{a t^2}{m}, \frac{\mathrm{bt}^2}{2 \mathrm{~m}}, \frac{\mathrm{ct}^2}{2 \mathrm{~m}}$
• D

  $\frac{a t^2}{2 m}, \frac{\mathrm{bt}^2}{2 \mathrm{~m}}, \frac{\mathrm{ct}^2}{\mathrm{~m}}$

Hence, the correct answer is option: 'A'.