Relative Velocity Rain Fall Problem

AI Thread Summary
The discussion revolves around calculating the relative velocity of rain with respect to a cyclist. The rain falls vertically at 25 m/s, while the cyclist moves south at 15 m/s. The calculated relative velocity of the rain concerning the cyclist is -10j, indicating a downward motion. To determine the direction the cyclist should hold the umbrella, the cyclist's velocity must be considered as a vector component. The conversation highlights the importance of vector analysis in solving the problem accurately.
konichiwa2x
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Hi,
Can someone please check my work and tell me where I am going wrong?
Rain is falling vertically downward with a velocity 25m/s. A cyclist is moving from North to South vith a velocity 15m/s. What is the velocity of the rain with respect to the cyclist? What is the direction the cyclist has to hold his umbrella so as to protect himself from the rain?

Vel of rain = -25j
Vel of cyclist = -15j

Vel of rain with respect to cyclist = -25j - (-15j)
= -10j

and I am not sure on how to find the direction. Please help.
 
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Since when do cyclists drive in the direction of rain? :smile:
 
remember, velocity is a vector
 
I want a flying bicycle! :wink:
 
:redface:

vel of cyclist = 15i right?
 
Right. Now I guess you know what you have to do. :smile:
 

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