Question

A southward wind of speed 5m/s affects raindrops falling vertically at 4m/s .A cyclist moves towards south with a speed of 2m/s .What are the magnitude and direction of the speed of the raindrops relative to the cyclist?​

Answer 1

ANSWER

Velocity of wind will be added to velocity of rain

Velocity of rain

V

r

=4(−

j

^

) m/s

Velocity of wind

V

w

=3(

i

^

) m/s

Net velocity

V

=

V

r

+

V

w

=3

i

^

+(−4

j

^

)

angle from vertical will be θ=tan

−1

∣−4∣

3

=37

o

.

37

o

from vertical towards south

Answer 2

Explanation:

Velocity of wind will be added to velocity of rain

Velocity of rain

V

r

=4(−

j

^

) m/s

Velocity of wind

V

w

=3(

i

^

) m/s

Net velocity

V

=

V

r

+

V

w

=3

i

^

+(−4

j

^

)

angle from vertical will be θ=tan

−1

∣−4∣

3

=37

o

.

37

o

from vertical towards south