Raindrops are falling vertically with a velocity 10m/s.to a cyclist moving on a straight road the rain drops appear to be coming with a velocity of 20m/s.the velocity of cyclist is?

Question

Answer

Answer

Given:

Velocity of raindrops (v_r) = 10m/s

Velocity of raindrops with respect to the cyclist (v_rc) = 20m/s

To find:
Velocity of the cyclist (v_c)

Solution:

Understanding the concept: In this problem, we need to understand the concept of relative velocities. When two objects are in motion, their velocities can be added or subtracted to get the relative velocity of one object with respect to the other object.

Calculating the velocity of the cyclist: Let's assume that the cyclist is moving in the same direction as the raindrops. In this case, the relative velocity of the raindrops with respect to the cyclist can be calculated as follows:

v_rc = v_r + v_c

where

v_c = velocity of the cyclist

Substituting the given values, we get:

20m/s = 10m/s + v_c

v_c = 20m/s - 10m/s = 10m/s

Therefore, the velocity of the cyclist is 10m/s.

Conclusion:
The velocity of the cyclist is 10m/s. The concept of relative velocities is used to solve this problem.

Answer

10√3

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