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."

Speed-time graph of the moving car is as below:

(i). Acceleration of the car $=$slope AB$=\frac{24-4}{10-0}$

$=\frac{20}{10}$

$=2\ m/s^2$

(ii). Distance traveled by car is equal to the area of trapezium OABC.

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

$=\frac{1}{2}\times(4+24)\times10$

$=\frac{1}{2}\times28\times10$

$=140\ m$

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