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Rain is falling vertically with a veloci...

Rain is falling vertically with a velocity of 4 km `hr^(-1)` . A cyclist is going along a horizontal road with a velocity of 3 km `hr^(-1)` towards cast. Calculate the relative velocity of the rain with respect to the cyclist. In what direction must the cyclist hold his umbrella to save himself from the falling rain ?

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AI Generated Solution

To solve the problem, we need to calculate the relative velocity of the rain with respect to the cyclist and determine the direction in which the cyclist should hold his umbrella. ### Step-by-Step Solution: 1. **Identify the velocities**: - The velocity of rain (\( V_r \)) is given as 4 km/hr downward. - The velocity of the cyclist (\( V_c \)) is given as 3 km/hr towards the east. ...
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