In: Physics
Two friends, Barbara and Neil, are out rollerblading. With respect to the ground, Barbara is skating due south at a speed of 3.5 m/s. Neil is in front of her. With respect to the ground, Neil is skating due west at a speed of 3.0 m/s. Find Neil's velocity ((a) magnitude and (b) direction relative to due west, as seen by Barbara.
Hi,
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PART (a):
Please refer the figure below to understand the concept easier:

From figure,
 is Velocity of
Neil with respect to ground (m/s).
 is Velocity of
Barbara with respect to ground (m/s).
We know that, Velocity of Neil with respect to Barbera is given by,

 Magnitude of
Velocity of Neil with respect to Barbera is given
by,


![]()  | 
Direction relative to due west is given by,

Where, 
 is the angle
between 
 and 


due west.
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