Question

A force \( \vec{F}=ai+bj+ck \) is acting on a body of mass \( m \). The body was initially at rest at the origin. The coordinates of the body after time \( t \) will be

• A. \( \left(\frac{at^2}{2m},\frac{bt^2}{2m},\frac{ct^2}{2m}\right) \)
• B. \( \left(\frac{at^2}{2m},\frac{bt^2}{m},\frac{ct^2}{2m}\right) \)
• C. \( \left(\frac{at^2}{m},\frac{bt^2}{2m},\frac{ct^2}{2m}\right) \)
• D. \( \left(\frac{at^2}{2m},\frac{bt^2}{2m},\frac{ct^2}{m}\right) \)

Hint:

Constant force motion: \begin{itemize} \item Use \( s=\frac12 at^2 \). \item Apply component-wise. \end{itemize}

Answer 1

The Correct Option is A