Question

A butterfly is flying with velocity (10i^+12 j^]) m's and wind is blowing along x-axis with velocity a 1 butterfly
starts motion from A and after some time reaches point B. Then find the value of u
(1) 16m's
(2) 8m/s
(3) 6m/s
(4) 12m/s​

Answer 1

Answer:

Option (3) 6 m/s

Explanation:

The diagram is attached

Given

The velocity of butterfly

$v=10\hat i+12\hat j$

Wind is blowing along the x-axis with velocity u m/s

Thus,

Velocity of wind

$v_w=u\hat i$

Butterfly starts from A and ends up at B due to the horizontal wind

Thus the velocity of the butterfly relative to the wind

$=(10+u)\hat i+12\hat j$

Again

$\tan37^\circ=\frac{\text{Vertical component}}{\text{Horizontal component}}$

$\implies \frac{3}{4}=\frac{12}{10+u}$

$\implies u+10=12\times \frac{4}{3}$

$\implies u+10=16$

$\implies u=16-10$

$\implies u=6$ m/s

Hope this helps.