Rain is falling with speed 12/2 m/s
at an angle of 45° with vertical line.
A man in a glider is going at a
speed of 'V' at angle of 37º with
horizontal with respect to ground
Find the speed (in m/s) of glider so
that rain appears to him falling
vertically. Consider motion of glider
and rain drops in same vertical
plane
WY
Rain
Answers
Answer:
ANSWER
Convert the velocity vectors into horizontal and vertical components.
So the velocity of rain wrt ground, v
RG
=12
2
.
The horizontal component will be v
RG
Cos45, i.e. 12 in positive x direction.
Vertical component will also be 12m/s in negative y direction.
Now,
Velocity of man with respect to ground, v.
Horizontal component of v will be
5
4v
in negative x direction, vertical component will be
5
3v
in negative x direction.
By equation
v
RM
+v
MG
=vRG
For rain to appear falling only in vertical plane to the man, velocity of rain in the horizontal plane must be zero to the man,i.e. v
RM
=0 in horizontal plane.
Now consider equation * for horizontal motion,
0+v
MG,X
=v
RG,X
v
MG,X
=
5
4v
So,
5
4v
=12
Hence, v=15m/s.
Answer:
The answer is a option A