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: At the instant the caracara releases the nut, what is the magnitude of the velocity vector of the nut?

You are playing Hot Rod toy cars with your nephew and niece. Your nephew wanted to show off how fast he could launch a Hot Rod off the dining table 1.00 m above the floor by thrusting the car forward very fast but was no match against your niece who compensated slight lack of speed by pushing the car straight forward reaching a speed of 4.5 m/s at the edge of the table top when she let go of it. What was the magnitude of the final speed when it hit the floor?

You buy a plastic dart gun, and being a clever physics student you decide to do a quick calculation to find its maximum horizontal range. You shoot the gun straight up, and it takes 4.2 s for the dart to land back at the barrel. What is the maximum possible horizontal range that could be achieved by your gun, assuming the dart lands at the same level it started?

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 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 father demonstrates projectile motion to his children by placing a pea on his fork's handle and rapidly depressing the curved tines, launching the pea to heights above the dining room table. Suppose the pea is launched at 7.63 m/s at an angle of 79.0° above the table. With what speed (in m/s) does the pea strike the ceiling 1.90 m above the table?      m/s

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)