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devvaibhav
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1. 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=1 at the point x=1. No other information is available about its motion at intermediate times (0<t<1). If α denotes the instantaneous acceleration of the particle, then
(A) α cannot remain positive for all t in the interval 0<t<1
(B) |α| cannot exceed 2 at any point in its path
(C) |α| must be >4 at some point or points in its path
(D) α must change sign during the motion but no other assertion can be made with the information given.
2. Sorry but i think its obvious.
3. I agree with statement (A) as if α will remain positive all the time, the particle won't stop or in other words there would be no retardation.
I have other doubt if statement (D) be like this " α must change sign during the motion ", then it would be correct but after adding "but no other assertion can be made with the information given." , it becomes incorrect?
(A) α cannot remain positive for all t in the interval 0<t<1
(B) |α| cannot exceed 2 at any point in its path
(C) |α| must be >4 at some point or points in its path
(D) α must change sign during the motion but no other assertion can be made with the information given.
2. Sorry but i think its obvious.
3. I agree with statement (A) as if α will remain positive all the time, the particle won't stop or in other words there would be no retardation.
I have other doubt if statement (D) be like this " α must change sign during the motion ", then it would be correct but after adding "but no other assertion can be made with the information given." , it becomes incorrect?
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