A particle of mass `m` moves on the ` x- axis ` as follows : it starts from rest at ` t = 0`, from the point `x = 0`, and comes to rest at ` t = l` at the point `x = 1`. No other information is available about its motion at intermediate times `( 0 lt t lt l)` . If `alpha ` denotes the instantaneous accelartion of the particle , then :

Options

A. (a) `alpha` cannot remain positive for all t in the interval 0 `lt=`t`lt=`1
B. (b) | `alpha` | cannot exceed 2 at any point in its path
C. | `alpha` | must be `gt` 4 at some point or points in its path
D. | `alpha` | = 2 at any points in its path