Answer:
[tex]1.55\ \text{m/s}[/tex]
[tex]2.68\ \text{m/s}[/tex]
Explanation:
v = Velocity of the elevator = 3.1 m/s
[tex]\theta[/tex] = Angle of the slope = [tex]30^{\circ}[/tex]
Vertical component is given by
[tex]v_y=v\sin\theta\\\Rightarrow v_y=3.1\sin30^{\circ}\\\Rightarrow v_y=1.55\ \text{m/s}[/tex]
The vertical component of the velocity is [tex]1.55\ \text{m/s}[/tex].
Horizontal component is given by
[tex]v_x=v\cos\theta\\\Rightarrow v_x=3.1\times \cos30^{\circ}\\\Rightarrow v_x=2.68\ \text{m/s}[/tex]
The horizontal component of the velocity is [tex]2.68\ \text{m/s}[/tex].
