Straight line motion MCQ (Multiple choices)

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gaudsmack
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1. 1. A point moving along the x-direction starts from rest at x=0 and comes to rest at x=1 after 1 second. Its acceleration at any point is denoted by β. Which of the following is not correct ?
a. β must change sign during the motion.
b. |β|≥4 units at some or all points during the motion
c. It is not possible to specify an upper limit for |β| from the given data
d. |β| cannot be less than 0.5 during the motion

It literally seems impossible !




2.Relevant equations:
v= u + at , s=ut + 1/2at^2 , v^2 = u^2 +2as




3.Attempt at the solution:
Just hit and trial - putting values less than, equal to or greater than 4
 
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Let's do them in order. What do you think about the sign change?
 
I suggest you pay careful attention to this sentence: "Its acceleration AT ANY POINT is denoted by β." Making an immediate inference from this fact should give you the correct answer choice immediately :). Hope that helps
 
The answer...

the answer to the question is option D...
but the thing is that i don't know how