A cyclist is traveling eastwards at a velocity of 40m/s and rain is falling vertically at a speed of 10m/s. Find the velocity of the rain relative to the cyclis?
To find the velocity of the rain relative to the cyclist, we need to subtract the velocity of the cyclist from the velocity of the rain.
Velocity of rain relative to cyclist = Velocity of rain - Velocity of cyclist
Velocity of rain = 10m/s (given)
Velocity of cyclist = 40m/s (given)
Velocity of rain relative to cyclist = 10m/s - 40m/s
= -30m/s
The velocity of the rain relative to the cyclist is -30m/s, which means that the rain is falling at a speed of 30m/s in the opposite direction to the cyclist's movement.
To find the velocity of the rain relative to the cyclist, we need to consider the concept of vector addition.
The velocity of the rain relative to the cyclist is the vector sum of the rain's velocity and the cyclist's velocity. Since both velocities are given in the same direction (eastwards), we can simply add their magnitudes:
Velocity of the rain relative to the cyclist = Velocity of the rain + Velocity of the cyclist
= 10 m/s + 40 m/s
= 50 m/s
Therefore, the velocity of the rain relative to the cyclist is 50 m/s eastwards.