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Question

Physics Question on Motion in a plane

A bird flies at an angle of 6060^{\circ} to the horizontal. Its horizontal component of velocity is 10ms110\, m\, s ^{-1} . Find the vertical component of velocity in ms1m s ^{-1} .

A

10310 \sqrt 3

B

103\frac{10}{\sqrt{3}}

C

55

D

2626

Answer

10310 \sqrt 3

Explanation

Solution

θ=60,ux=10ms1,uy=?\theta=60^{\circ}, u_{x}=10\,m\,s^{-1}, u_{y}=?
As tan θ=uyux\theta=\frac{u_{y}}{u_{x}}
uy=uxtanθ=10×3\therefore u_{y}=u_{x} tan \,\theta=10\times\sqrt{3}
=103ms1=10\sqrt{3}\,m\,s^{-1}