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Chapter 06, Problem 43 GO s The drawing shows a skateboarder moving at S 20 m/s

ID: 1580940 • Letter: C

Question

Chapter 06, Problem 43 GO s The drawing shows a skateboarder moving at S 20 m/s along a horizontal section of a track that is slanted upward by -S4.0° above the projectile motion. Ignoring friction and air resistance, find the maximum height H to which she rises above the and of the track. horizontal at its cnd which is 0.780 m above the ground when she leaves the rack she olows the charac enstic path of e characteristic path of leaves le moton. Ignoring frictien and air es 5.20ms 780m Number Units the tolerance is +/-296

Explanation / Answer

  the speed she leaves the track is given by

1/2mv^2=1/2mvi^2-mgh

v=sqrt(vi^2-2gh)

v = sqrt(5.20^2-2*9.81*0.780)

v= 3.428 m/s

h=vy^2/(2g)

vy = v*sin

vy= 3.428 * sin54 = 2.773 m/s

h= (2.773)^2/(2*9.8)

h=0.392 m

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