Two parallel rail tracks run north-south. Train A moves north with a speed of 54 km/h and train B moves south with a speed of 90 km/h. What is the relative velocity in m/s of (a) B with respect to A
(b) the ground with respect to B
(c) A monkey running on roof of train A (with velocity 5m/s with respect to A) as observed by a man standing on the ground
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Answer:
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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