74. A motor boat is racing towards north at
25 km/hr and the water current in that
region is 10 km/hr in the direction of 600
east of south. The approximate resultant
velocity of the boat is
(a) 31 km/hr
(b) 22 km/h
(c) 44 km/hr
(d) 28 km/hr
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Answered by
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Answer:
Given,
velocity of the water current v
c
=10 km/s
velocity of the motorboat v
b
=25km/h
angle between north and south east is 120
o
Resultant velocity v
R
=
v
b
2
+v
c
2
+2v
b
v
c
cos120
∘
(25) 2+(10) 2 +2(25)(10)( 2−1,)=22km/h −1
The resultant velocity of the boat is 22km/h −1
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