A girl on a sled arms herself with a snowball, starts from rest atthe top of a hill (inclined 20° above the horizontal) andaccelerates along the slope of the hill. When she reaches thebottom of the hill, she reaches a speed of 15m/s. A boy at thelevel ground below has built a fort wall 2m high, 6m from the baseof the hill, to defend himself.
a) At the midpoint (20m along the slope of the hill) what is herspeed?
b) At the midpoint, she throws a snowball with a launch velocity(with respect to
herself) of 10m/s, 60° above the hill's surface. What is the launchvelocity from the point of view of the boy being targeted?
c) When (if ever) does the snowball reach the fort wall?
d) Does the snowball hit the fortwall, go over the fort wall, orfalls short of the wall?
If it hits, where on the wall does it hit? If it goes over, by howmuch does it clear the wall? If it falls short, by how much does itfall short of the wall?
A girl on a sled arms herself with a snowball, starts from rest atthe top of a hill (inclined 20° above the horizontal) andaccelerates along the slope of the hill. When she reaches thebottom of the hill, she reaches a speed of 15m/s. A boy at thelevel ground below has built a fort wall 2m high, 6m from the baseof the hill, to defend himself.
a) At the midpoint (20m along the slope of the hill) what is herspeed?
b) At the midpoint, she throws a snowball with a launch velocity(with respect to
herself) of 10m/s, 60° above the hill's surface. What is the launchvelocity from the point of view of the boy being targeted?
c) When (if ever) does the snowball reach the fort wall?
d) Does the snowball hit the fortwall, go over the fort wall, orfalls short of the wall?
If it hits, where on the wall does it hit? If it goes over, by howmuch does it clear the wall? If it falls short, by how much does itfall short of the wall?
