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 time $(0 < t < 1)$. If $\alpha $ denotes the instantaneous acceleration of the particle, then
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 time $(0 < t < 1)$. If $\alpha $ denotes the instantaneous acceleration of the particle, then
- [IIT 1993]
- 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 change sign during the motion but no other assertion can be made with the information given
- D
(a) and (c) both
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- [IIT 1978]
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