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  • 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.

Q 8.     The speed-time graph for a car is shown in Figure:

             

    (a)     Find how far does the car travels in the first 4 seconds. Shade the area on the graph that represents the distance travelled by the car during the period.     

Answers (1)

best_answer

Distance travelled by car in the 4-second

The area under the slope of the speed-time graph gives the distance travelled by an object.

In the given graph

56 full squares and 12 half squares come under the area slope for the time of 4 seconds.

Total number of squares = 56+\frac{12}{2}=62 

The total area of the squares will give the distance travelled by the car in 4 seconds.

On the time axis, 5 squares = 2 s

∴ 1 Square = \frac{2}{5}s

On the speed axis, 3 squares = 2 m/s

1 square = \frac{2}{3}m/s

The area of 1 square = \frac{2}{3}\times \frac{2}{5}=\frac{4}{15}m

Therefore, the area of 62 square = \frac{4}{15}\times 62=16.53m

Hence, the car travels 16.53 m in the first 4 seconds.

Posted by

HARSH KANKARIA

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