# Q 8.     The speed-time graph for a car is shown is Figure:    (a)     Find how far does the car travel in the first 4 seconds. Shade the area on the graph that represents the distance travelled by the car during the period.

Given is a speed-time graph. The area under the curve will give the distance travelled by the car.

In time , the distance travelled by the car will be equal to the area under the curve from

Considering this part of the graph as a quarter of a circle whose radius = 4 unit.

Therefore, required area =

Therefore, distance the car travelled in the first 4 seconds is

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