# physics

posted by .

The drawing shows a skateboarder moving at 7.59 m/s along a horizontal section of a track that is slanted upward by 55.0 ° above the horizontal at its end, which is 0.741 m above the ground. When she leaves the track, she follows the characteristic path of projectile motion. Ignoring friction and air resistance, find the maximum height H to which she rises above the end of the track.

• physics -

Hmmm. The way I see it, kinetic energy is lost during her rise up the ramp. So, at the moment of takeoff, her KE is

1/2 mv^2 - 1/2 mgh
= m(1/2 * 7.59^2 - 1/2 * 9.8 * 0.741)
= 25.17m

Now, that means that her speed is then 7.10 m/s

The vertical component of that is 5.81 m/s, so counting from the end of the track,

H(t) = 5.81t - 4.9t^2

which has a maximum at (.59,1.72)

## Similar Questions

1. ### Physics

The drawing shows a skateboarder moving at v = 4.8 m/s along a horizontal section of a track that is slanted upward by 48° above the horizontal at its end, which is h = 0.48 m above the ground. When she leaves the track, she follows …
2. ### physics

The drawing shows a skateboarder moving at 5.34 m/s along a horizontal section of a track that is slanted upward by 47.7 ° above the horizontal at its end, which is 0.795 m above the ground. When she leaves the track, she follows …
3. ### Physics

The drawing shows a skateboarder moving at 5.55 m/s along a horizontal section of a track that is slanted upward by 40.9 ° above the horizontal at its end, which is 0.724 m above the ground. When she leaves the track, she follows …
4. ### Physics

The drawing shows a skateboarder moving at 6.41 m/s along a horizontal section of a track that is slanted upward by 47.4 ° above the horizontal at its end, which is 0.612 m above the ground. When she leaves the track, she follows …
5. ### Physics

The drawing shows a skateboarder moving at 5.40 m/s along a horizontal section of a track that is slanted upward by 48.9 ° above the horizontal at its end, which is 0.582 m above the ground. When she leaves the track, she follows …
6. ### physics

The drawing shows a skateboarder moving at 6.93 m/s along a horizontal section of a track that is slanted upward by 45.6 ° above the horizontal at its end, which is 0.654 m above the ground. When she leaves the track, she follows …
7. ### Physics

The drawing shows a skateboarder moving at 5.71 m/s along a horizontal section of a track that is slanted upward by 49.8 ° above the horizontal at its end, which is 0.516 m above the ground. When she leaves the track, she follows …
8. ### Physics

A skateboarder moving at 7.18 m/s along a horizontal section of a track that is slanted upward by 48.5 ° above the horizontal at its end, which is 0.741 m above the ground. When she leaves the track, she follows the characteristic …
9. ### physics

The drawing shows a skateboarder moving at 6.87 m/s along a horizontal section of a track that is slanted upward by 51.9 ° above the horizontal at its end, which is 0.616 m above the ground. When she leaves the track, she follows …
10. ### physics

The drawing shows a skateboarder moving at 6.88 m/s along a horizontal section of a track that is slanted upward by 37.3 ° above the horizontal at its end, which is 0.741 m above the ground. When she leaves the track, she follows …

More Similar Questions