The Cattle and Hay Problem

An airplane is dropping bales of hay to cattle. The pilot releases the bales at 150m above the level ground when the plane if flying at 75m/s in a direction above \(55^\circ\) above the horizontal. How far in front of the cattle should the pilot release the hay so...

The Snowball Problem

(a) A snowball rolls off a barn roof that slopes downward at an angle of \(40^\circ\). The edge of the roof is 14.0m above the ground and the snowball has a speed of 7.00m/s as it rolls off the roof. How far from the edge of the barn does the snowball strike the...

Suitcase Falling from an Airplane

An airplane is flying with a velocity of \(90m/s\) at an angle of \(23^\circ\) above the horizontal. When the plane is \(114m\) directly above a dog that is standing on level ground, a suitcase drops out of the luggage compartment. How far from the dog will the...

Projectile Inside a Liquid

A body of mass m is projected inside a liquid at an angle θ0 with horizontal at an initial velocity v0. If the liquid develops a velocity dependent force F= -kv where k is a positive constant, determine the x and y components of the velocity at any instant. Solution:...