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NIMCET 2018 Question Paper with solutions
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© examsnet.com
Question : 25
Total: 120
A bird is flying in a straight line with velocity vector
10
^
i
+
6
^
j
+
^
k
measured in km/h. If starting points is (1, 2, 3), how much time does it take to reach a point in space that is 13 m high from ground?
600 seconds
360 seconds
36 seconds
60 seconds
Validate
Solution:
Here, velocity vector of bird is
→
υ
=
10
^
i
+
6
^
j
+
^
k
or
|
→
υ
x
|
= 10 km/h
|
→
υ
y
|
= 6 km/h
|
→
υ
z
|
= 1 km/h
Initial position vector of the bird
→
O
A
=
^
i
+
2
^
j
+
3
^
k
When bird reach a point in space that is 13 m high from the ground then final position vector of the bird will be
→
O
B
=
^
i
+
2
^
j
+
13
^
k
∴
→
A
B
=
→
O
B
−
→
O
A
= 10
^
k
or
|
→
A
B
|
= 10 m
Time taken by bird to cover a distance of 10 m along the vertical is
t =
|
→
A
B
|
/
|
→
V
x
|
=
10
1
×
5
18
=
10
×
18
5
= 36 seconds
© examsnet.com
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