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Consider a car being driven along a straight road. Then the acceleration of the car from the given graph is:

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10 m s^{- 2}

8 m s^{- 2}

0.5 m s^{- 2}

None of these

answer is C.

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Detailed Solution

The acceleration of the car calculated from the given graph is

0.5 m s^{- 2} .

To find the value of its acceleration, we consider two points A and B corresponding to time

t_{1} = 20 s

and t_{2} = 50 s .

and having respective velocities

v_{1} = 10 m s^{- 1}

and

v_{2} = 25 m s^{- 1}

. Then, from the graph, we have uniform acceleration,

a = \frac{BC}{AC}

i.e.;

a = \frac{v_{2} - v_{1}}{t_{2} - t_{1}}

\Rightarrow a = \frac{25 - 10}{50 - 20}

\Rightarrow a = 0.5 m s^{- 2} .

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