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A car is moving on a straight road with uniform acceleration. The speed of the car varies with time as follows :

  

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A car is moving on a straight road with uniform acceleration. The speed of the car varies with time as follows :

Time (s): 0 2 4 6 8 10

Speed (m/s): 4 8 12 16 20 24

Draw the speed-time graph by choosing a convenient scale.

From this graph:

(i) Calculate the acceleration of the car.

(ii) Calculate the distance travelled by the car in 10 seconds.

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(i) Acceleration of the car = slope of line AB

= \(\frac{24-4}{10-0}\) = \(\frac{20}{10}\)

= 2m/s2

(ii) Distance travelled by the car in 10s = area of trapezium OABC

= \(\frac{1}{2}\) x (OA + BC) x OC

= \(\frac{1}{2}\) x (4 + 24) x 10

= 140 m

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