Question

6. Fig 8.11 shows the distance-time graph of three objects AB
and C. Study the graph and answer the following questions:
B
12
distance (km)
1.6
0.4 0.8
1.2
time (hour)
a) which of the three is travelling the fastest?
b)Are all three ever at the same point on the road?
c)How far has c travelled when B passes A?
d)How far has B travelled by the time it passes C?​

Answer 1

Explanation:

(a) speed = distance /time

from the graph, we see that

A travels from 6 to 12 km in 2 hrs

B travels from 0 to 2 km in 1.4 hrs

C travel from 2 to 12 km in 1.6 hrs

since B travels the most distance in the smallest time,

it is travelling the fastest.

(B) all the three objects A,B,C never meet at single point.

thus all the three were never at the same point on the road.

when B passes A, we have marked it by the blue dot.

making a straight line intersects line marked by A is the distance travelled.

thus distance travelled by A is 8 KM

WHEN B PASSES C, WE HAVE MARKED IT BY BLUE DOT.

at that point, distance travelled by 8 is around 5 km.