A butterfly is flying with velocity
jˆ
i 12 ˆ 10 + m/s and wind is blowing along x axis
with velocity u. If butterfly starts motion from A and after some time reaches
point B, find the value of u.
To find the value of u, we need to use the concept of relative velocity. The relative velocity between the butterfly and the wind is the vector sum of their individual velocities.
Given:
Butterfly velocity = 12i + 10j m/s
Let's assume the wind velocity is u in the x-direction.
The relative velocity between the butterfly and the wind, V_relative, is given by:
V_relative = Butterfly velocity - Wind velocity
Since the wind is blowing only along the x-axis, the wind velocity can be expressed as u in the x-direction and 0 in the y-direction.
Therefore, the relative velocity can be calculated as follows:
V_relative = (12i + 10j) - (u i + 0 j)
= 12i + 10j - u i
= (12 - u)i + 10j
Since the butterfly is moving from point A to point B, this means that the displacement vector from A to B is the same as the relative velocity vector, V_relative.
Hence, the displacement vector is equal to (12 - u)i + 10j.
To find the value of u, we need to equate the displacement vector to the given value at point B. However, the question does not provide the position or displacement of point B. Therefore, without this information, it is not possible to determine the exact value of u.