A constant force acts on a body of mass m at rest fort second and then ceases to act. In next 't’ second the body travels a distance 'x'. Magnitude of force is :

Options

A. `(mx)/(t^(2))`
B. `(mx)/(t)`
C. `mxt`
D. `mxt^(2)`

Answer

a

Explanation

For next r. sec the velocity is uniform as force is absent
`upsilon=(x)/(t)` Now `upsilon = u + at or (x)/(t) = 0 + at`
or `a=(x)(t^(2))` and force `F=m.a=(mx)/(t^(2))`
(a) is the choice.