Respuesta :
Given :
A roller coaster travels 350 feet horizontally and then travels 130 feet at an angle of 60 degrees from the ground.
To Find :
The direction of the resultant vector.
Solution :
Initial displacement ,
[tex]\vec{d_1}=350\hat{i}[/tex]
Final displacement ,
[tex]\vec{d_1}=130cos\ 60^o\hat{i}+130sin \ 60^o\hat{j}\\\\\vec{d_1}=65\hat{i}+65\sqrt{3}\hat{j}[/tex]
So, direction vector is :
[tex]\vec{D}=\vec{d_1}+\vec{d_2}\\\\\vec{D}=415\hat{i}+65\sqrt{3}\hat{j}[/tex]
Hence, this is the required solution.
