Question

A plane takes off at an angle of 30 degrees at a speed of 150 km/h. Determine the horizontal

and vertical components of this velocity vector.

Answer 1

Horizontal Component = 129.9 km/h

Vertical Component = 75 km/h

Step-by-step explanation:

When a vector is resolved on the x-axis and the y-axis, the components so formed are called its rectangular components. The component along y-axis is called the vertical component and the component along x-axis is called horizontal component. These components can be given by following formulae:

Horizontal Component = v Cos θ

Vertical Component = v Sin θ

where,

v = velocity = 150 km/h

θ = angle = 30°

Therefore,

Horizontal Component = (150 km/h)(Cos 30°)

Horizontal Component = 129.9 km/h

Vertical Component = (150 km/h)(Sin 30°)

Vertical Component = 75 km/h