An airplane flies due north through the air at a speed of  75 m/s in a wind from the west at 10 m/s. What is the ground speed of the plane and what direction will it go?

A hunter spots a duck flying a given distance, h, above the ground (in meters) and shoots at it with his shotgun.  The buckshot leaves the shotgun at an angle equal to 57.7 degrees from the horizontal with a velocity of 105 m/s.  The duck is flying at a speed of 30 m/s in a horizontal direction toward the hunter.  If the hunter shot when the duck was 200 meters away from the hunter and hit the duck, how high was the duck flying?

A projectile is thrown from the top of a cliff with an initial speed of 25 m/s at an angle of 600 up from the horizontal. If the projectile lands 100 m from the base of the cliff how tall is the cliff?

A ball kicked from ground level at an initial velocity of 50 m/s and an angle 0 with ground reaches a horizontal distance of 220 meters. What is the size of angle 0?

An arrow is shot from a height of 1.5 m toward a cliff of height H. It is shot with a velocity of 31 m/s at an angle of 60° above the horizontal. It lands on the top edge of the cliff 3.97 s later. What is the height H of the cliff in m?  What is the maximum height reached by the arrow along its trajectory in meters?  What is the arrow’s speed just before hitting the cliff in m/s?

Two cars approach each other at an intersection. Car A is traveling south at 30 m/s, while car B is traveling 70 degrees north of east at 50 m/s. What is the speed (in m/s) of car A as seen by the driver of car B?

What is the range in meters of a projectile launched at an angle of θ1 = 78.3° with an initial speed of 58 m/s?

A boy stands 10 meters from a school building, tosses a ball toward the building with an angle of 30 degrees above the horizontal. What height does the ball strike the building with if the initial speed is 25 m/s

A projectile is launched off of a 19.6 m high building with an initial velocity of 26.4 m/s at an angle of 33.2 degrees relative to the horizontal. What is the speed of the projectile when it reaches it maximum height?

A stunt car traveling at 25 m/s flies horizontally off a cliff and lands 65.8 m from the base of the cliff. a) Sketch the scenario. b) Determine how tall is the cliff?