answer the following by using the graph given below
a)distance by which bus B was ahead of bus A initially
b)do they ever meat each other.if so when
c)distance travelled by bus A when it overtakes bus B
d)distance by which bus A was ahead of bus B at t=12h
e)which one of them is moving faster
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Answers
Answer:
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a) The distance by which bus B was ahead of bus A initially is 20 km.
b) Bus A and bus B will meet each other at 60 km which is after 9 hours.
c) The distance travelled by bus A when it overtakes bus B is 60 km.
d) The distance by which bus A was ahead of bus B at t = 12 h is 10 km
e) Bus A is faster than bus B.
Given: A distance-time graph.
To Find:
a)distance by which bus B was ahead of bus A initially
b)do they ever meet each other? if so when
c)distance travelled by bus A when it overtakes bus B
d)distance by which bus A was ahead of bus B at t = 12 h
e)which one of them is moving faster
Solution:
a) From observation, we can see that the straight line corresponding to B is starting from 20 km.
So, the distance by which bus B was ahead of bus A initially is 20 km.
b) The intersection of the two straight lines A and B tells us that bus A and bus B will meet each other.
They will meet each other at 60 km which is after 9 hours.
c) We see that bus A overtakes bus B just after they meet each other as before then bus B was leading.
So, the distance travelled by bus A when it overtakes bus B is 60 km.
d) We observe from the graph that,
At t = 12 h, distance by which bus A = 80 km
At t = 12 h, distance by which bus B = 70 km
So, the distance by which bus A was ahead of bus B at t = 12 h = ( 80 -70)
= 10 km
e) To see, which bus is moving faster, we need to find their speed which is calculated by finding the slope for the straight lines corresponding to buses A and B respectively.
Slope of A = distance/time = 80/12 = 6.67 m/s
Slope of B = distance/time = 70/12 = 5.83 m/s
So, bus A is faster than bus B.
Compiling all the answers, we get;
a) The distance by which bus B was ahead of bus A initially is 20 km.
b) Bus A and bus B will meet each other at 60 km which is after 9 hours.
c) The distance travelled by bus A when it overtakes bus B is 60 km.
d) The distance by which bus A was ahead of bus B at t = 12 h is 10 km
e) Bus A is faster than bus B.
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