A rhombus ABCD is shown in figure. The sides of the rhombus can rotate about vertex A, B, C and D. The vertex C is moving with a velocity of 6 m/s in horizontal direction. Determine the velocity of vertex A

Options

A. 4.8 m/s
B. 4.5 m/s
C. 5 m/s
D. None of these

Answer

B

Explanation

`x=(k)/(b^(2))(1-e^(-bt))`
`(dx)/(dt)=v=(k)/(b^(2))b e^(-bt) = (k)/(b)e^(-bt)`
`a=(dv)/(dt)=(k)/(b)(-b)e^(-bt)=-ke^(-bt)`