A particle of mass 'm' and initially at rest is acted by a force `F=a` t. Newtons best representation of force-displacement graph is:

Options

A.
B.
C.
D.

Answer

A

Explanation

`F=at,m(dv)/(dt)=at,intmdv=intatdt`
`mv=(at^(2))/(2),m(ds)/(dt)=(at^(2))/(2)`
`intmds=int(at^(2))/(2)dt`
`ms=(at^(3))/(6)=(a)/(6)((F)/(a))^(3)` ,
:. `SpropF^(3)` or `FpropS^(1//3)` .