Question

Figure shows the distance-time graph of three objects A, B and C. Study the graph and answer the following questions.

a) Which of the three is travelled 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 is passes C?

Answer 1

Slope of B object is greater than slopes A and C. This is travelling fastest.

b) All three objects never meet at a point, hence these are not at the same point.

c) There are 7 boxes in X axis = 4 Km
1 box = \(\frac{4}{7}\) Km
In the beginning C object is 4 boxes away from 0
= \(\frac{16}{7}\) km
Distance to C from origin = Distance of C when it moves from B to A = 8 Km

∴ Distance travelled by C when B passes A = 5.714 km.

d) Distance B travelled by the time it passes C = 9 boxes

∴ B has travelled 5.143 k.m. by the time when it passes C.