# 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.

H Harsh Kankaria

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

In time $t= 4\ s$, the distance travelled by the car will be equal to the area under the curve from $x = 0\ to\ x=4$

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

Therefore, required area = $\frac{1}{4}\pi r^2 = \frac{1}{4}\pi (4)^2 = 12.56\ m$

Therefore, distance the car travelled in the first 4 seconds is $12.56\ m$

Exams
Articles
Questions