Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
Physics Homework Question?
A truck drives up a hill with a 15° incline. If the truck has a constant
speed of 22 m/s, what are the horizontal and vertical components of the
truck’s velocity?
Explanation of steps would be greatly appreciated
1 Answer
- Peppers_GhostLv 71 decade agoFavorite Answer
simple trigonometry
imagine the hill as a triangle.
after 1 second, the truck will have gone 22 m..... that is the hypotenuse of the triangle
the 15° is the hypotenuse in relation to the horizontal component
the horizontal component will be the 'adjacent' to the angle
the vertical component will be the 'opposite' to the angle
you can use sine function to find the opposite
sin 15 = opposite/22
22(sin 15) = opposite = 5.69
and the adjacent by the cosine rule
cos 15 = adjacent/22
22(cos 15) = adjacent = 21.25
these are already in metres..... and as you have used 1 second as the basis for the calculation the units are already m/s
horizontal component = 21.25 m/s
Vertical component = 5.69 m/s