Two parallel rail tracks run north-south. Train A moves north with a speed of 54 km/ hr, and train B moves south with a speed of 90 km/ hr. What is the velocity of a monkey running on the roof of the train A against its motion (with a velocity of 36 km/hr with respect to the train A) as observed by a man standing on the ground in m/s? Choose the positive direction of x-axis to be from the south to north. {ASAP, Chapter 3 Class 11 NCERT CBSE, Relative Velocity}
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Two parallel rail tracks run north-south. Train A moves north with a speed of 54 kmh
−1
and train B moves south with a speed of 90 kmh
−1
, What is the
a. the relative velocity of B with respect to A?
b. the relative velocity of the ground with respect to B?
c. a velocity of a monkey running on the roof of the train A against its motion (with its velocity of 18 kmh−1 with respect to the train A) as observed by a man standing on the
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a.
v
BA
=
v
B
-
v
A
Hence, velocity of train B w.r.t train A is 144 km/h toward south.
b. Velocity of ground w.r.t. B
v
g,B
=v
g
−v
B
= 0 - 90$$
v
g,B
= -90 km/h
Hence, velocity of ground w.r.t train B is 90 km/h towards north.
c.
v
m,g
=
v
m,A
+
v
Ag
= 18 - 54 = -36 km/h
Hence, velocity of monkey will be 36 km/h toward north.
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velocity v
A