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A plane moves with a velocity of 63.5 m/s at 32 degrees South of East. Calculate the plane's horizontal and vertical velocity components.

Sagot :

The plane's horizontal and vertical velocity components are 33.65 m/s and 53.85 m/s respectively.

What is velocity ?

velocity is defined as rate of change of displacement d of the object with respect to rate of change in time t. In mathematics It is written as :

v = d/t

it should be noted that, velocity is nothing but speed in particular direction. That is velocity is vector quality having both magnitude and direction where as speed is just the magnitude of velocity.

It is given that :

A plane moves with a velocity v of 63.5 m/s at 32 degrees South of East with the horizontal.

Therefore, the planes horizontal velocity components will be :

v₁ = vsinθ

v₁ = 63.5 x sin 32⁰

v₁ = 33.65 m/s

the planes vertical velocity components will be :

v₂ = vsinθ

v₂ = 63.5 x cos 32⁰

v₂ = 53.85 m/s

Therefore, the plane's horizontal and vertical velocity components are 33.65 m/s and 53.85 m/s respectively.

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