Question

A butterfly is flying with a velocity `4sqrt2` m/s in a North-East direction. The wind is slowly blowing at 1 m/s from North to South. The resultant displacement of the butterfly in 3 seconds is ______.

पर्याय

• 15 m

• `12sqrt2` m

• 3 m

• 20 m

Answer 1

A butterfly is flying with a velocity `4sqrt2` m/s in a North-East direction. The wind is slowly blowing at 1 m/s from North to South. The resultant displacement of the butterfly in 3 seconds is 15 m.

Explanation:

`|vecA| = 4sqrt2` m/s

`|vecB|` = 1 m/s

`|vecA + vecB| = sqrt(A^2 + B^2 + 2ABcos135^circ)`

= `sqrt((4sqrt2)^2 + (1)^2 + 2(4sqrt2)(1)((-1)/sqrt2))`

= `sqrt25` = 5 m/s

The butterfly was displaced in 3 seconds as a result.

S = 5 × 3 = 15 m