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A particle of mass m moves on the x- ax...

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 :

A

`alpha` cannot remain positive for all t in the interval `0 le t le 1`.

B

`|alpha|` cannot exceed 2 at any point in its path.

C

`|alpha|` must be `ge 4` at some point or points in its path.

D

`alpha` must change sign during the motion, but no other assertion can be made with the information given.

Text Solution

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The correct Answer is:
A, C
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