A mischievous caracara sees a fisherman unscrew a shiny steel nut from a bolt on his ship while doing repairs in a harbor off the Falkland Islands. The fisherman watches helplessly as the bird picks up the nut and flies toward the shore. The bird flies due east at a constant speed of 5m/s and constant height of 11m . The bird flies directly over a person on the shoreline, dropping the nut at the instant they are above the person. Prepare: Once the nut has been released, in which directions does the acceleration vector have components along?

Several people stand on a bridge over a river.  The bridge is not level, so the people are all different heights above the river.  Each person throws a stone to the river. a) The first person is 26.8 m above the river and throws her stone with a speed of 16.6 m/s at an angle of 6 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below).  How long does it take her stone to hit the water, in seconds? b) The second person is 19.0 m above the river and throws his stone with a speed of 17.1 m/s at an angle of -21.4 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below).  What is the range of his stone, in meters? c)The third person is 9.1 m above the river and throws their stone with a speed of 6.5 m/s at an angle of 9.3 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below).  What is the speed of this stone (in m/s) just before it strikes the river?

A hot-air balloon is rising upward with a constant speed of 2.55 m/s. When the balloon is 2.91 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground?

A rocket is fired at a speed of 83.0 m/s from ground level, at an angle of 45.0° above the horizontal. The rocket is fired toward an 12.5-m high wall, which is located 21.0 m away. The rocket attains its launch speed in a negligibly short period of time, after which its engines shut down and the rocket coasts. By how much does the rocket clear the top of the wall? Number i Units

Your nephew got a Nerf Bazooka gun for Christmas, so you take it outside to play with it (just like my uncles did when I was little). The bazooka is on your shoulder, 1.5 m above the ground. You aim the gun 25° above the horizontal and the big, foam projectile leaves the gun with an initial velocity of 36 m You accidentally aim the bazooka at a tree that is a horizontal distance of 27 m away. How long does it take for the projectile to hit the tree? t = How high (above the ground) in the tree does the projectile get stuck? hfinal = m Imagine you were more clever and aimed into an empty field with no obstructions. You can control how fast the projectile leaves the gun by pumping more times or fewer times (more pumps = faster projectile). What are TWO ways you could increase the amount of time that the projectile is in the air?

Your little sister is running to the park in your neighborhood at a speed of 3.90 m/s when you suddenly realize she left her favorite playground ball behind. You throw her ball horizontally out the window of your apartment which is at a height of 45.0 m above the street and directly above the sidewalk. You throw the ball 8.00 seconds after she has passed below your window and she catches the ball! a) Ignoring air resistance, what is the initial speed that you must throw her ball so she can catch it just before it reaches the ground? b) How far down the sidewalk from the window is your sister when she catches her ball?

A rock is tossed from the top of a building at an angle of 20° above the horizontal with an initial speed of 15 m/s. The rock lands on the ground 3.0 s after it is tossed. What is the height of the building (in m)? m

A mischievous caracara sees a fisherman unscrew a shiny steel nut from a bolt on his ship while doing repairs in a harbor off the Falkland Islands. The fisherman watches helplessly as the bird picks up the nut and flies toward the shore. The bird flies due east at a constant speed of 5m/s and constant height of 11m . The bird flies directly over a person on the shoreline, dropping the nut at the instant they are above the person. Prepare: Once the nut has been released, what is the magnitude of its acceleration vector?

1e. A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of  v0 = 18.5 m/s. The cliff is h = 20.0 m above a flat, horizontal beach as shown in the figure. How long after being released does the stone strike the beach below the cliff? (in seconds)