Rain drops are falling vertically downward with a velocity 4kmph. The velocity with which they appear to fall down to a man travelling at 2 kmph horizontally is
Answers
Answer:
2√5 km/hr
Explanation:
vr=-4j
vrm=?
VM=2i
vrm= vr-vm
vrm=-4j-2i
vrm=√4^2+2^2
vrm=√16+4
vrm=√20
vrm=2√5 km/hr.
Given : Rain drops are falling vertically downwards with a velocity 4 kmph
To Find : The velocity with which they appear to fall down to a man travelling at 2 kmph horizontally
Solution:
Man Horizontal Velocity = 2kmph
Man Vertical Velocity = 0
Rain Horizontal Velocity = 0
Rain Vertical Velocity = 4kmph
velocity with which they appear to fall = ( 0 - 2) i + ( 4 - 0 ) j
= -2i + 4j
= √(-2)² + (4)²
= √4 + 16
= √20
= 2√5
velocity with which they appear to fall down = 2√5 km/hr
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