Fig. shows the time acceleration graph for a particle in rectilinear motion. The average acceleration in first twenty seconds is

m / s^{2}

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m / s^{2}

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m / s^{2}

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m / s^{2}

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Solution

The correct option is C 30 $m / s^{2}$
$\begin{matrix} A v e r a g e a c c e l e r a t i o n = \frac{a r e a o f O A B E}{t i m e} t i m e = 20 s A r e a o f O A B E = A r e a o f O A D + A r e a o f A B E D = \frac{1}{2} \times 10 \times 40 + 10 \times 40 = 200 + 400 = 600 ∴ A v e r a g e a c c e l e r a t i o n = \frac{600}{20} = 30 m / s^{2} H e n c e, o p t i o n C i s t h e c o r r e c t a n s w e r . \end{matrix}$

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Fig. shows the time acceleration graph for a particle in rectilinear motion. The average acceleration in first twenty seconds is

The correct option is C 30m/s2Averageacceleration=areaofOABEtimetime=20sAreaofOABE=AreaofOAD+AreaofABED=12×10×40+10×40=200+400=600∴Averageacceleration=60020=30m/s2Hence,optionCisthecorrectanswer.