Question

A jetliner is moving at a speed of 245m/s. The vertical component of the plane's velocity is 40.6 m/s. Determine the magnitude of the horizontal component of the plane velocity.

Answer 1

Answer:

Horizontal component of velocity = 241.61 m/s

Explanation:

Given that,

Velocity of a jetliner is 245 m/s

The vertical component of the plane's velocity is 40.6 m/s, $v_y=40.6\ m/s$

We need to find the magnitude of the horizontal component of the plane velocity.

The resultant velocity is given by :

$v=\sqrt{v_x^2+v_y^2}$

Where, $v_x$ is the horizontal component of the plane velocity

$v^2=v_x^2+v_y^2\\\\v_x^2=v^2-v_y^2\\\\v_x^2=(245)^2-(40.6)^2\\\\v_x=\sqrt{58376.64}\\\\v_x=241.61\ m/s$

So, the magnitude of the horizontal component of the plane velocity is 241.61 m/s.