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2.Motion in Straight Line
medium
The graph between the displacement $x$ and time $t$ for a particle moving in a straight line is shown in figure. During the interval $OA,\,AB,\,BC$ and $t = 1,\;{v_x} = 0$, the sign of acceleration of the particle at $OA, AB, BC, CD$ is respectively
A$+ \,\, 0\,\, + \,\, +$
B$- \,\,0 \,\,+ \,\, 0$
C$+ \,\, 0\,\, -\,\, +$
D$-\,\,0 \,\, - \,\, 0$
Solution
(b) Region $OA$ shows that graph bending toward time axis i.e. acceleration is negative.
Region $AB$ shows that graph is parallel to time axis i.e. velocity is zero. Hence acceleration is zero.
Region $BC$ shows that graph is bending towards displacement axis i.e. acceleration is positive.
Region $CD$ shows that graph having constant slope i.e. velocity is constant. Hence acceleration is zero.
Region $AB$ shows that graph is parallel to time axis i.e. velocity is zero. Hence acceleration is zero.
Region $BC$ shows that graph is bending towards displacement axis i.e. acceleration is positive.
Region $CD$ shows that graph having constant slope i.e. velocity is constant. Hence acceleration is zero.
Standard 11
Physics
