Straight line motion MCQ (Multiple choices)

[gaudsmack]

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

 

[voko]

Let's do them in order. What do you think about the sign change?

 

[economicstyro]

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

 

[gaudsmack]

The answer...

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

 

[Nickie]

for acceleration in the given equations will not give the correct results. So, option b is not correct. The correct answer is c. It is not possible to specify an upper limit for |β| from the given data. This is because the given data only provides information about the starting and ending points of the motion, but does not give any information about the velocity or displacement at any other point during the motion. Therefore, it is not possible to determine the exact value or upper limit of the acceleration |β| without additional information.