81,127 views
20 votes
20 votes
An arrow is shot an angle of 13 degrees to the horizontal with an initial speed of 100. Km/hr. Find the horizontal and vertical components of the velocity.

User Gluck
by
2.2k points

1 Answer

20 votes
20 votes
It’s important to remember key trigonometry concepts when talking about kinematics.

In this example, it’s important to know that sin represents the relationship between the opposite side (in this case y) and hypotenuse (100) and that cosine represents the adjacent side (in this case x) and hypotenuse.

For sin, the opposite divided by the hypotenuse equals the sin of the given angle. Similar for cos, but adjacent.

We can use this to algebraically isolate the side we are looking for, and allow ourselves an easy calculator solution.
Both of my answers are rounded.

X-component = 97.437 m/s
Y-component = 22.495 m/s

I hope this helped, if you need any clarification, please comment.
An arrow is shot an angle of 13 degrees to the horizontal with an initial speed of-example-1
User MCB
by
2.9k points