The drawing shows a skateboarder moving at 5.92 m/s along a horizontal section o

Question

The drawing shows a skateboarder moving at 5.92 m/s along a horizontal section of a track that is slanted upward by 40.9

The drawing shows a skateboarder moving at 5.92 m/s along a horizontal section of a track that is slanted upward by 40.9 degree above the horizontal at its end, which is 0.755 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.

Explanation / Answer

Her final total energy is equal to the initial energy.

1/2 m vh^2 + mg(h+0.755)=1/2 m 5.92^2

vh=5.92cos40.9
notice mass m divides out, solve for h.

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