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2.Motion in Straight Line
easy
Given figure shows the $x-t$ plot of one-dimensional motion of a particle. Is it correct to say from the graph that the particle moves in a straight line for $t < 0$ and on a parabolic path for $t >0$? If not, suggest a suitable physical context for this graph.

Option A
Option B
Option C
Option D
Solution
No. The $x-t$ graph of a particle moving in a straight line for $t<0$ and on a parabolic path for $t>0$ cannot be shown as the given graph. This is because, the given particle does not follow the trajectory of path followed by the particle as $t=0, x=0 .$ A physical situation that resembles the above graph is of a freely falling body held for sometime at a height
Standard 11
Physics
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In the $s-t$ equation $\left(s=10+20 t-5 t^2\right)$, match the following columns.
Colum $I$ | Colum $II$ |
$(A)$ Distance travelled in $3\,s$ | $(p)$ $-20$ units |
$(B)$ Displacement in $1\,s$ | $(q)$ $15$ units |
$(C)$ Initial acceleration | $(r)$ $25$ units |
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Refer to the graph in figure. Match the following
Graph | Characteristics |
$(A)$ | $(i)$ has $v > 0$ and $a < 0$ throughout |
$(B)$ | $(ii)$ has $x > 0,$ throughout and has a point with $v = 0$ and a point with $a = 0$ |
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$(D)$ | $(iv)$ has $v < 0$ and $a > 0$ |
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